# What is the derivative of picos((pit)/6)?

##### 1 Answer
Nov 19, 2017

$\frac{- {\pi}^{2} \sin \left(\frac{\pi t}{6}\right)}{6}$

#### Explanation:

Assuming we are differentiating with respect to $t$,
Because $\pi$ is a constant, only differentiate cos, then differentiate what's inside the bracket!
$\pi \times - \sin \left(\frac{\pi t}{6}\right) \times \left(\frac{\pi}{6}\right)$
= $\frac{- {\pi}^{2} \sin \left(\frac{\pi t}{6}\right)}{6}$