Question

What is the derivative of this?

Dy/dx=x^2y+y^2x

Answer 1

y^2+2xy/-x^2-2xy OR -y^2-2xy/x^2+2xy OR -y^2-2xy/(x)(x+2y)

Explanation:

So, this is an implicit differentiation problem

x^2y+y^2x

so,

use product rule for both

x^2y'+2xy+y^2+2yy'x

collect all the y's

-x^2y'-2xyy'=y^2+2xy

y'(-x^2-2xy)=y^2+2xy

=y^2+2xy/-x^2-2xy