求帮忙解答一道微积分的计算题,要过程

2025-02-24 23:06:36
推荐回答(1个)
回答1:

z = ln[(x-y)/(x+y)] = ln|x-y| - ln|x+y|
∂z/∂x = 1/(x-y) - 1/(x+y) = 2y/(x^2-y^2)
∂z/∂y = -1/(x-y) - 1/(x+y) = -2x/(x^2-y^2)
dz = 2(ydx-xdy)/(x^2-y^2)