求解一道大学高数题,谢谢!

求函数的偏导数
2025-03-07 01:27:49
推荐回答(1个)
回答1:

z=√ln(xy)

∂z/∂x=(1/2)*[ln(xy)]^(-1/2)*(1/xy)*y
=1/[2x√ln(xy)]
∂z/∂y=(1/2)*[ln(xy)]^(-1/2)*(1/xy)*x
=1/[2y√ln(xy)]