设f二阶可导，z=y/xf(xy)，则

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问题设f二阶可导，z=y/xf(xy)，则

选项

答案-1/x²f(xy)+y/xf’(xy)+y²f"(xy)

解析

=-y/x²f(xy)+y²/xf’(xy)，

=-1/x²f(xy)-y/xf’(xy)+2y/xf’(xy)+y²f"(xy)=-1/x²f(xy)+y/xf’(xy)+y²f"(xy)．

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考研数学二

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