Question

How do you implicitly differentiate `-1=y^2-(x-e^y)/(y)`?

Answer 1

`1/(1+3y^2+e^y)`

Explanation:

Here, I choose an easier method.

Rearranging to x-explicit form,

`x=y+y^3+e^y`. Differentiating with respect to y.

`(dx)/(dy)= 1+3y^2+e^y=1/(y')`. So,

`y'=1/(1+3y^2+e^y)`