Question

Find dy/dx by implicit differentiation.
(x^3)(y^3)-y=x

Answer 1

The answer I get is ((x- (3x^2)(y^3))/((3y^2)(x^3)-1), but my book says its wrong.

Answer 2

is it (1-3x^2y^3)/(3y^2x^3-1) ??

Answer 3

yes

Answer 4

really close, but the derivative of the x on the right is 1

Answer 5

oh! I forgot about taking the derivative of the x! >.< thanks!

Answer 6

yup, just that, d/dx (x) =1 on right.

Answer 7

You're welcome. <high five @hartnn>