2. 考研
  3. 设f二阶可导，z＝yf(xy)／x，则＝________

设f二阶可导，z＝yf(xy)／x，则＝________

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问题 设f二阶可导，z＝yf(xy)／x，则＝________
选项
答案－f(xy)／x2＋yf’(xy)／x＋y2f”(xy)
解析 ＝－yf(xy)／x2＋y2f’(xy)／x
＝－f(xy)／x2－yf’(xy)／x＋2yf’(xy)／x＋y2f”(xy)
＝－f(xy)／x2＋yf’(xy)／x＋y2f”(xy)
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考研数学一

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