Question

Find dy/dx for the following: lny=y-x^2

Answer 1

do you know implicit derivatives?

Answer 2

Yes, I end up with this:

Answer 3

(1/y)(dy/dx) = (dy/dx)-2x

Answer 4

yeah then subtract dy/dx from the right side and factor

(1/y)(dy/dx) - (dy/dx) = -2x

(dy/dx)(1/y - 1) = -2x

Answer 5

dy/dx= - 2x/(1/y - 1)