Question

根号下X的平方加Y的平方的偏导数怎么求

Answer 1

√(x²+y²)

x的偏导数

(1/2)(x²+y²)^(-1/2)*(2x)=x/[√(x²+y²)]

y的偏导数

(1/2)(x²+y²)^(-1/2)*(2y)=y/[√(x²+y²)]