f(x, y) =-(x^2+3y^2)^0.5

Question

求y的偏导数

Answer 1

f(x, y) =-(x^2+3y^2)^(1/2)
∂f/∂x
=-(1/2)(x^2+3y^2)^(-1/2) .( 2x)
=-x.(x^2+3y^2)^(-1/2)
∂f/∂y
=-(1/2)(x^2+3y^2)^(-1/2) .(6y)
=-3y.(x^2+3y^2)^(-1/2)