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设f(x,y)具有一阶连续偏导数,z=xf(x^y,e^xy),求dz
人气:240 ℃ 时间:2019-10-10 06:37:40
解答
根据一阶全微分形式不变得dz=d(xf(x^y,e^xy)=f(x^y,e^xy)dx+xd(f(x^y,e^xy))=f(x^y,e^xy)dx+x[f1'd(x^y)+f2'(de^xy)]= f(x^y,e^xy)dx+x{f1'[(y-1)x^(y-1)dx+x^ylnydy]+f2'(ye^xydx+xe^xydy)}自己整理OK...
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