# How do you find the fist and second derivative of pi*sin(pix)?

Apr 30, 2015

In this way:

$y ' = \pi \cdot \left(\cos \pi x \cdot \pi\right) = {\pi}^{2} \cos \pi x$

$y ' ' = {\pi}^{2} \left(- \sin \pi x \cdot \pi\right) = - {\pi}^{3} \sin \pi x$.