# How do you find the derivative of  pi^(x+2) using the chain rule?

Apr 7, 2018

Derivative is ${\pi}^{x + 2} \ln \pi$

#### Explanation:

Let $y = {\pi}^{x + 2}$, then

$\ln y = \left(x + 2\right) \ln \pi$

Now taking derivative on both sides we get

$\frac{1}{y} \frac{\mathrm{dy}}{\mathrm{dx}} = \ln \pi$

and hence $\frac{\mathrm{dy}}{\mathrm{dx}} = \ln \pi \cdot y = {\pi}^{x + 2} \ln \pi$