# How do you find the derivative of z=(2+3x)^4?

Jun 9, 2018

$\frac{\mathrm{dz}}{\mathrm{dx}} = 12 {\left(2 + 3 x\right)}^{3}$

#### Explanation:

Given-
$z = {\left(2 + 3 x\right)}^{4}$

We have apply chain rule to solve this question.

$\frac{\mathrm{dz}}{\mathrm{dx}} = 4 {\left(2 + 3 x\right)}^{3} \times d \left(2 + 3 x\right)$

$\frac{\mathrm{dz}}{\mathrm{dx}} = 4 {\left(2 + 3 x\right)}^{3} \times 3$

$\frac{\mathrm{dz}}{\mathrm{dx}} = 12 {\left(2 + 3 x\right)}^{3}$