Question

If h(x)= ln(4x), then h'(x)=?​

Answer 1

Answer:
`h'(x) = (1)/(x).`

Explanation:

By the chain rule,

`h'(x) = (d)/(dx)(\log(4x)) = (1)/(4x) \cdot 4 = \boxed{(1)/(x)}.`

Answer 2

The derivative of h(x) = ln(4x) is h'(x) = 4 / (4x) = 1 / x.