设z=1xf(xy)+yϕ(x+y),f具有二阶偏导数,则∂2z∂x∂y=______.
<p>问题:设z=1xf(xy)+yϕ(x+y),f具有二阶偏导数,则∂2z∂x∂y=______.<p>答案:↓↓↓<p class="nav-title mt10" style="border-top:1px solid #ccc;padding-top: 10px;">秦勇的回答:<div class="content-b">网友采纳 因为z=1xf(xy)+yΦ(x+y),所以,∂z∂y=1xf′(xy)•x+Φ(x+y)+yΦ′(x+y)=f′(xy)+Φ(x+y)+yΦ′(x+y),∂2z∂x∂y=∂∂x(∂z∂y)=yf″(xy)+Φ′(x+y)+yΦ″(x+y)=Φ′(x+y)+y(f″(xy)+Φ″...
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