一道微积分题,求Z=e^(sin(xy))的全微分.

一道微积分题,求Z=e^(sin(xy))的全微分.
一道微积分题,求Z=e^(sin(xy))的全微分.

一道微积分题,求Z=e^(sin(xy))的全微分.
∂z/∂x=e^sin(xy)*cos(xy)*y
∂z/∂y=e^sin(xy)*cos(xy)*x
所以dz=ycos(xy)*e^sin(xy) dx+xcos(xy)*e^sin(xy) dy