函数z=u^2lnv,u=x+y,v=x^2*y.求偏导数z⼀x,z⼀y

2024-11-23 07:55:25
推荐回答(1个)
回答1:

z/x=z/u u/x+z/v v/x
=2ulnv ×1+u²/v × 2xy
=2(x+y)ln(x²y)+2(x+y)²/x

z/y=z/u u/y+z/v v/y
=2ulnv ×1 +u²/v ×x²
=2(x+y)ln(x²y)+(x+y)²/y