Question

using implicit differentiation, find dy/dx given cos(xy)=y^2. implicit differentiation is not exactly my strong spot :(

Answer 1

just remember when you take derivative of "y" term to multiply by "dy/dx"

for y^2 , derivative is 2y times dy/dx

for cos(xy) use chain rule and product rule

Answer 2

thank you!!

Answer 3

yw you should get:

\[-\sin(xy) (y + x \frac{dy}{dx}) = 2y \frac{dy}{dx}\]
use algebra to isolate dy/dx