de0c1401-4bca-4481-ae0c-61be50425bf5 7 4 5 decimal

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Analysis

x sin x diff x cos

x sin x 2 diff x sin -

Analysis

x f a x 3^* b x 2^* + c x * + d + :

x f x diff c x b a x * + b + 2 a * x * + (* +

x f x 2 diff 2 b a x * + 2 a * x * + (*

Analysis

x u x v * x diff x u x diff x v * x u x v x diff * +

Analysis

x f x 2 diff x x.0 ≡ at 2 b a x.0 * + 2 a * x.0 * + (*

x.0 f x 2 diff 0

Analysis

x y f.1 x y f.2 21 sys x y 21 sys Jacobian x y f.1 x diff x y f.1 y diff x y f.2 x diff x y f.2 y diff 22 mat

e 2 x * 2 +^x 3 y * cos * 21 sys x y 21 sys Jacobian 2 e 21 x + (*^* 03 y * cos 33 y * sin * x * - 22 mat

Analysis

x v e 2 x 1 el * 2 +^x 1 el 3 x 2 el * cos * 21 mat :

x v x 1 el x 2 el 21 mat Jacobian 2 e 21 x 1 el + (*^* 03 x 2 el * cos 33 x 2 el * sin * x 1 el * - 22 mat

Analysis

x 3 y * cos * x y 21 sys Hessian 033 y * sin * - 33 y * sin * - 93 y * cos * x * - 22 mat

x y f x y 21 sys Hessian x y f x diff x diff x y f y diff x diff x y f x diff y diff x y f y diff y diff 22 mat

Analysis

x sin a 1 Taylor a cos x a - (* a sin +

x sqrt a 2^1 Taylor x a 2^+ 2 a 2^sqrt * /

x n^a 0 Taylor a 2 el a 1 el^

x n^a 1 Taylor a 2 el 1 - a 1 el +^a 1 el a diff a 2 el ln * a 2 el * a 2 el a diff a 1 el * + (n a - (* a 2 el + (*

Analysis x sqrt x sqrt 1 1 Taylor x sqrt 1 2 Taylor 3 1 sys x sin x sin 1 1 Taylor x sin 1 2 Taylor 3 1 sys