设f(t)二阶可导,g(u,v)二阶连续可偏导,且z=f(2x-y)+g(x,xy),求

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问题 设f(t)二阶可导,g(u,v)二阶连续可偏导,且z=f(2x-y)+g(x,xy),求

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答案[*]=2f’(2x-y)+g’1(x,xy)+yg’2(x,xy), [*]=-2f’’(2x-y)+xg’’12(x,xy)+g’2(x,xy)+xyg’’22(x,xy).

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