can you please explain how to to find dy/dx for the function x^2 y+ Y^2 x = -2

Question

I need to find dy/dx of this function and evaluate the derivative at the point (2,-1)

x^2 y+y^2 x = -2.

 

Answer 1

Derivative both sides with respected to x

Apply the prodect property : d / d x ( u v ) = u v ' + v u ' and power property : d / dx ( x ⁿ ) = n  * x ^{n -1}

Evaluate the derivative  at the point ( 2 , - 1).

Derivative of    is not defind at the point ( 2 , - 1).