Find dy/dx by implicit differentiation:

Question

x^2-2xy+y^3 = c

Thank you!

Answer 1

x² - 2xy + y³ = c

2x - 2y - 2xy' + 3y² y' = 0

2(x-y) + y'(3y²-2x) = 0

y' = 2(y-x)/(3y²-2x)