Question

What is the derivative of `f(x)=ln (x^2+2)`?

Answer 1

Using the chain rule on `f(x) = ln(x^2+2)`, we let

`u=x^2+2`, so `du=2x`, so `f'(x) = (2x)/(x^2+2)`.

Explanation:

We've used the definition `d/dx[ln(u)]=(du)/(u)`.