Question

How do you find the derivative of `4^(6x)`?

Answer 1

`6ln(4)4^(6x)`

Explanation:

We can rewrite `4^(6x)` as `(4^6)^x.`

Now, recall `d/dxa^x` where `a` is a constant is given by `a^xln(a).` Thus,

`d/dx4^(6x)=4^(6x)ln(4^6)=6ln(4)4^(6x)`