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

$6 \ln \left(4\right) {4}^{6 x}$
We can rewrite ${4}^{6 x}$ as ${\left({4}^{6}\right)}^{x} .$
Now, recall $\frac{d}{\mathrm{dx}} {a}^{x}$ where $a$ is a constant is given by ${a}^{x} \ln \left(a\right) .$ Thus,
$\frac{d}{\mathrm{dx}} {4}^{6 x} = {4}^{6 x} \ln \left({4}^{6}\right) = 6 \ln \left(4\right) {4}^{6 x}$