Question

use implicit differentiation to find dy/dx: y^2-2xy=0

Answer 1

What's preventing you from diving in and completing this task?

Please demonstrate your initial efforts.

Answer 2

add 2xy to both sides then take derivate of both sides (y^2)^1=(2xy)^1

Answer 3

You have not ever seen such an example.

We are assuming that y = f(x). We have some Chain Rules in our future.

\(Given\;y = f(x),\;we\;have\;\dfrac{d}{dx}y^{2} = 2y\dfrac{dy}{dx}\)

Okay, you do the piece that requires the Product Rule and the Chain Rule.

\(Given\;y = f(x),\;we\;have\;\dfrac{d}{dx}(-2xy) = -2\dfrac{d}{dx}(xy) =\;??\)

Answer 4

Please don't do what @BlackLabel just suggested. That would be quite incorrect.