# How do you differentiate  f(x)= sin(pix-2)^3  using the chain rule.?

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