为自己加油

求函数z=(x²+y²e^(x2+y2)/xy的偏导数．

∂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)