大学高等数学,图片中划线的那题怎么做,谢谢

2024-12-13 15:47:47
推荐回答(2个)
回答1:

回答2:

5. y/x = tanv, v = arctan(y/x),
x^2+y^2 = e^(2u), u = (1/2)ln(x^2+y^2)
z = uv = (1/2)ln(x^2+y^2) arctan(y/x)
z' = [x/(x^2+y^2)]arctan(y/x)
- (1/2)[y/(x^2+y^2)]ln(x^2+y^2)
z' = [y/(x^2+y^2)]arctan(y/x)
+ (1/2)[x/(x^2+y^2)]ln(x^2+y^2)