求函数f(z)=cos(1/(1+z^2))的导数

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求函数f(z)=cos(1/(1+z^2))的导数求函数f(z)=cos(1/(1+z^2))的导数求函数f(z)=cos(1/(1+z^2))的导数导数ƒ‘(z)=﹣sin(1/(1+z&

求函数f(z)=cos(1/(1+z^2))的导数
求函数f(z)=cos(1/(1+z^2))的导数

导数ƒ‘(z)=﹣sin(1/(1+z²))·﹙﹣1/﹙1﹢z²﹚²﹚·2z
=(2z/(1＋z²)²)·sin(1/(1+z²))

ƒ‘(z)=﹣sin(1/(1+z²))·﹙﹣1/﹙1﹢z²﹚²﹚·2z=2z/((1+z^2)^2)sin(1/(1+z^2))

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