Question

How do I find the derivative of `f(x)=ln (x^3+3)`?

Answer 1

Using chain rule, which states that `(dy)/(dx)=(dy)/(du)(du)/(dx)`

Explanation:

Renaming `u=x^3+3`, we can differentiate it now, as `f(x)ln(u)`

`(dy)/(dx)=1/u(3x^2)=(3x^2)/(x^3+3)`