Question

How do you find the derivative of `y=ln(2x)`?

Answer 1

This is the composite of `ln x` and `2x`, so we use the Chain Rule together with the facts that `(2x)'=2` and that `(ln x)'=1/x`:
`(ln(2x))'=1/(2x) \times (2x)'=2/(2x)=1/x`.