Question

Find dy/dx of x^2*y+x*y^2=8

Answer 1

Use implicit differentiation:

(Using multiplication rule for derivatives)

2xy + y'x^2 + y^2 + 2xyy' = 0

Answer 2

Put y' on one side:

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

Answer 3

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

Answer 4

Thanks dude!

Answer 5

No problem :)