﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio" version="0.95"?>
<regions>
  <settings>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false">
      <paper id="9" orientation="Portrait" width="827" height="1169" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
    </pageModel>
    <dependences>
      <assembly name="SMath Studio" version="0.95" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.95" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
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  </settings>
  <region id="0" left="27" top="18" width="106" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.1</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.2</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="1" left="315" top="18" width="106" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">g</e>
        <e type="operand">x.2</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="504" top="27" width="210" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>changing addends order..</p>
    </text>
  </region>
  <region id="3" left="0" top="72" width="152" height="24" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>mixed derivatives</p>
    </text>
  </region>
  <region id="4" left="90" top="99" width="53" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>wrong</p>
    </text>
  </region>
  <region id="5" left="378" top="99" width="32" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok </p>
    </text>
  </region>
  <region id="6" left="27" top="135" width="207" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="7" left="306" top="135" width="127" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="8" left="504" top="180" width="217" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>...results are different!</p>
    </text>
  </region>
  <region id="9" left="99" top="198" width="32" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok </p>
    </text>
  </region>
  <region id="10" left="369" top="198" width="53" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>wrong</p>
    </text>
  </region>
  <region id="11" left="27" top="225" width="127" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">g</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="12" left="306" top="225" width="207" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">g</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="13" left="0" top="306" width="136" height="24" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>x.1 derivatives</p>
    </text>
  </region>
  <region id="14" left="18" top="351" width="147" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="15" left="243" top="351" width="111" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.2</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="16" left="162" top="360" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="17" left="351" top="360" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="18" left="18" top="414" width="348" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="19" left="360" top="432" width="333" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>not simplified but correct, although...</p>
    </text>
  </region>
  <region id="20" left="72" top="486" width="341" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>develop the equation and then evalutate:</p>
    </text>
  </region>
  <region id="21" left="315" top="513" width="428" height="41" color="#ff0080" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="22" left="72" top="540" width="168" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>direct evalutation:</p>
    </text>
  </region>
  <region id="23" left="162" top="576" width="578" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math fractionType="auto">
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.2</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="24" left="0" top="648" width="136" height="24" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>x.2 derivatives</p>
    </text>
  </region>
  <region id="25" left="18" top="684" width="111" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="26" left="243" top="684" width="147" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.2</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="27" left="126" top="693" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="28" left="387" top="693" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="29" left="18" top="756" width="357" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="30" left="387" top="774" width="332" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>not simplified but correct (like above)</p>
    </text>
  </region>
  <region id="31" left="63" top="837" width="341" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>develop the equation and then evalutate:</p>
    </text>
  </region>
  <region id="32" left="315" top="864" width="428" height="41" color="#ff0080" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="symbolic">
        <e type="operand">3</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
      </result>
    </math>
  </region>
  <region id="33" left="63" top="909" width="168" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>direct evalutation:</p>
    </text>
  </region>
  <region id="34" left="153" top="936" width="587" height="42" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="35" left="0" top="1017" width="333" height="24" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>mixed derivatives from previous results</p>
    </text>
  </region>
  <region id="36" left="9" top="1062" width="356" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="37" left="585" top="1062" width="127" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="38" left="477" top="1071" width="86" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok, like:</p>
    </text>
  </region>
  <region id="39" left="9" top="1125" width="445" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="40" left="468" top="1134" width="110" height="24" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>wrong, like:</p>
    </text>
  </region>
  <region id="41" left="486" top="1170" width="207" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x.2</e>
        <e type="function" preserve="true" args="2">diff</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="42" left="9" top="1233" width="169" height="24" color="#0000ff" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>addends derivatives</p>
    </text>
  </region>
  <region id="43" left="9" top="1269" width="223" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
      </result>
    </math>
  </region>
  <region id="44" left="252" top="1269" width="119" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="45" left="387" top="1269" width="340" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="46" left="765" top="1278" width="230" height="41" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
      </input>
    </math>
  </region>
  <region id="47" left="72" top="1323" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="48" left="279" top="1323" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="49" left="495" top="1323" width="28" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">ok</e>
      </input>
    </math>
  </region>
  <region id="50" left="765" top="1323" width="215" height="32" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
      </result>
    </math>
  </region>
  <region id="51" left="981" top="1323" width="37" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>&lt;-&gt;</p>
    </text>
  </region>
  <region id="52" left="1026" top="1323" width="129" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </input>
    </math>
  </region>
  <region id="53" left="189" top="1386" width="265" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">0</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">-</e>
      </input>
      <result action="symbolic">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
  <region id="54" left="486" top="1386" width="103" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok...why???</p>
    </text>
  </region>
  <region id="55" left="18" top="1449" width="265" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
      </result>
    </math>
  </region>
  <region id="56" left="432" top="1458" width="357" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok (1st and 2nd addends of 1st derivative)</p>
    </text>
  </region>
  <region id="57" left="18" top="1503" width="382" height="52" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="58" left="432" top="1512" width="357" height="24" color="#008000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>ok (2nd and 3rd addends of 1st derivative)</p>
    </text>
  </region>
  <region id="59" left="18" top="1566" width="403" height="52" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x.2</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="60" left="36" top="1620" width="401" height="40" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <text lang="eng">
      <p>wrong (1st and 3rd addends of 1st derivative),but developing the argument the result is right </p>
    </text>
  </region>
  <region id="61" left="18" top="1665" width="395" height="52" border="true" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x.1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="operand">x.1</e>
        <e type="operator" args="2">*</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">x.2</e>
        <e type="operand">2</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x.1</e>
        <e type="operand">x.2</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operand">x.1</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="numeric">
        <e type="operand">0</e>
      </result>
    </math>
  </region>
</regions>