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<?application progid="SMath Studio Desktop" version="0.96.4909.6802"?>
<regions>
  <settings>
    <identity>
      <id>be8ed228-7b9f-4d88-9521-f6039e697cd5</id>
      <revision>52</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <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>
      <backgrounds />
    </pageModel>
    <dependences>
      <assembly name="SMath Studio Desktop" version="0.96.4909.6802" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Special Functions" version="1.10.4909.6779" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Area Region" version="0.96.4909.6802" guid="4974b228-4974-44cf-8274-bf2936b4a766" />
      <assembly name="Text Region" version="1.9.4909.6785" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
      <assembly name="MaximaPlugin" version="1.0.5096.34732" guid="44011c1e-5d0d-4533-8e68-e32b5badce41" />
    </dependences>
  </settings>
  <region id="0" left="18" top="18" width="24" height="27" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="function" preserve="true" args="1">diff</e>
      </input>
    </math>
  </region>
  <region id="1" left="99" top="18" width="70" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>diff(f)</p>
    </text>
  </region>
  <region id="2" left="18" top="36" width="48" height="44" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
    </math>
  </region>
  <region id="3" left="99" top="45" width="86" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>diff(f;x)</p>
    </text>
  </region>
  <region id="4" left="18" top="72" width="60" height="58" color="#000000" bgColor="#ffff80" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
        <e type="operand">x</e>
        <e type="operand">n</e>
        <e type="function" preserve="true" args="3">diff</e>
      </input>
    </math>
  </region>
  <region id="5" left="99" top="81" width="103" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>diff(f;x;n)</p>
    </text>
  </region>
  <region id="6" left="18" top="135" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">f</e>
      </input>
    </math>
  </region>
  <region id="7" left="108" top="135" width="159" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>abzuleitende Funktion</p>
    </text>
    <text lang="eng">
      <p>function to derive</p>
    </text>
  </region>
  <region id="8" left="18" top="162" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
      </input>
    </math>
  </region>
  <region id="9" left="108" top="162" width="307" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>unabhängige Variable, nach der abgeleitet wird</p>
    </text>
    <text lang="eng">
      <p>independent variable, to derive for.</p>
    </text>
  </region>
  <region id="10" left="18" top="189" width="20" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">n</e>
      </input>
    </math>
  </region>
  <region id="11" left="108" top="189" width="298" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Ordnung der zu bildenden Ableitung</p>
    </text>
    <text lang="eng">
      <p>order of the derivative to compute.</p>
    </text>
  </region>
  <region id="12" left="18" top="216" width="715" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Ableitung einer Funktion. Für den offiziellen Gebrauch sind nur die beiden Formen mit
Differenzialoperator. Die Strich-Form ist nicht offiziell unterstützt und nur zu 
Illustrationszwecken zu benutzen.</p>
    </text>
    <text lang="eng">
      <p>Derivative of a function. Usage in active math regions is limited to the versions with
differential operator d, the prime form is  just for display purpose in handbooks. </p>
    </text>
  </region>
  <region id="13" left="18" top="270" width="121" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="14" left="216" top="270" width="451" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>SMath kennt die symbolischen Ableitungen der meisten
eingebauten Funktionen.</p>
    </text>
    <text lang="eng">
      <p>SMath knows the symbolic derivatives of most built-in 
functions</p>
    </text>
  </region>
  <region id="15" left="18" top="297" width="159" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="16" left="18" top="342" width="159" height="58" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="3">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="414" width="672" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Das Maxima-Plugin kann die interne Ableitungsfunktion überschreiben und dadurch deren 
symbolische Fähigkeiten (geringfügig) erweitern.</p>
    </text>
    <text lang="eng">
      <p>The Maxima plugin can overwrite the diff() function, thus slightly extending the 
symbolic capabilities.</p>
    </text>
  </region>
  <region id="18" left="18" top="468" width="389" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Einen Überblick über die Leistungsfähigkeit gibt die folgende Handbuchseite</p>
    </text>
    <text lang="eng">
      <p>The following handbook page gives an overview:</p>
    </text>
  </region>
  <region id="19" left="18" top="504" width="202" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Section math comparison maple-maxima diff.sm">Vergleich: Ableitungen</p>
    </text>
    <text lang="eng">
      <p href="Section math comparison maple-maxima diff.sm">Comparison: Derivatives</p>
    </text>
  </region>
  <region id="20" left="18" top="540" width="535" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">diff()</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">The function diff() now use Maxima.</e>
      </result>
    </math>
  </region>
  <region id="21" left="18" top="567" width="240" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">tanh</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="22" left="18" top="612" width="135" height="29" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" preserve="true" args="1">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">1</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">cos</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="23" left="18" top="648" width="518" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand" style="string">none</e>
        <e type="function" preserve="true" args="1">MaximaTakeover</e>
      </input>
      <result action="numeric">
        <e type="operand" style="string">All functions now are native SMath.</e>
      </result>
    </math>
  </region>
  <region id="24" left="18" top="675" width="199" height="44" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sech</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">diff</e>
      </result>
    </math>
  </region>
  <region id="25" left="18" top="720" width="139" height="29" color="#ff0000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" preserve="true" args="1">diff</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">+</e>
        <e type="function" preserve="true" args="1">diff</e>
      </result>
    </math>
  </region>
  <region id="26" left="171" top="720" width="481" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Vorsicht mit der Strich-Form der Ableitung</p>
    </text>
    <text lang="eng">
      <p>The one-argument version diff(f) has just cosmetic value.
In the given example, an essential bracket is missing</p>
    </text>
  </region>
  <region id="27" left="171" top="765" width="94" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p>Richtig wäre:</p>
    </text>
    <text lang="eng">
      <p>should be:</p>
    </text>
  </region>
  <region id="28" left="288" top="765" width="135" height="31" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="function" args="1">f</e>
        <e type="function" preserve="true" args="1">diff</e>
        <e type="operand">x</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="1">sin</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="function" preserve="true" args="1">diff</e>
        <e type="operator" args="2">≡</e>
      </input>
    </math>
  </region>
  <region id="29" left="18" top="792" width="61" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Plugin Maxima.sm">Maxima</p>
    </text>
  </region>
  <region id="30" left="0" top="810" width="9" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p />
    </text>
  </region>
  <region id="31" left="18" top="810" width="127" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Function index.sm">Funktionsindex</p>
    </text>
    <text lang="eng">
      <p href="Function index.sm">Function index</p>
    </text>
  </region>
  <region id="32" left="18" top="828" width="78" height="24" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p href="Handbook.sm">Inhalt</p>
    </text>
    <text lang="eng">
      <p href="Handbook.sm">Contents</p>
    </text>
  </region>
  <region id="33" left="18" top="864" width="450" height="40" color="#000000" bgColor="#ffffff" fontSize="10">
    <text lang="ger">
      <p italic="true">$Author: mkraska $
$Date: 2013-12-15 01:35:16 +0100 (So, 15. Dez 2013) $ </p>
    </text>
  </region>
</regions>