一道微积分题,求Z=e^(sin(xy))的全微分.
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![一道微积分题,求Z=e^(sin(xy))的全微分.](/uploads/image/z/8710060-4-0.jpg?t=%E4%B8%80%E9%81%93%E5%BE%AE%E7%A7%AF%E5%88%86%E9%A2%98%2C%E6%B1%82Z%3De%5E%28sin%28xy%29%29%E7%9A%84%E5%85%A8%E5%BE%AE%E5%88%86.)
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