Question

How do you find `dy/dx` given `x=3y^3+2y`?

Answer 1

`9y^2+\frac{1}{2y}`

Explanation:

I’m assuming you’re asking for the derivative of the RHS:

`3y^3+2y \frac{dy}{dx}`

In that case, apply the power rule to each term.

`3y^3\frac{dy}{dx}+2y\frac{dy}{dx}`

`=9y^2+\frac{1}{2y}`