求函数z=(x2+y2e(x2+y2)/xy的偏导数．
【正确答案】：∂z/∂x=2x•e(x2+y2)/xy+(x2+y2)e (x2+y2)/xy•{[2x2y-y(x2+y2)/(xy)2]} =(1/x2y)e(x2+y2)/xy(x4-y4+2x3y) ∂z/∂y=2y•e(x2+y2)/xy+(x2+y2)e (x2+y2)/xy•{[2xy2-(x2+y2•x)/(xy)2]} =(1/xy2)e(x2+y2)/xy(-x4+y4+2xy3)
求函数z=(x2+y2e(x2+y2)/xy的偏导数．
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