设函数z=f2(xy),其中f(u)具有二阶导数,则等于(  )。A.2y3f′

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问题 设函数z=f2(xy),其中f(u)具有二阶导数,则等于(  )。A.2y3f′(xy)f″(xy)B.2y2[f′(xy)+f″(xy)]C.2y{[f′(xy)]2+f″(xy)}D.2y2{[f′(xy)]2+f(xy)f″(xy)}

选项 A.2y3f′(xy)f″(xy)
B.2y2[f′(xy)+f″(xy)]
C.2y{[f′(xy)]2+f″(xy)}
D.2y2{[f′(xy)]2+f(xy)f″(xy)}

答案 D

解析 一阶偏导数二阶偏导数
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