# How do you differentiate f(x)=sin(3e^(x^2)+1) using the chain rule?

Nov 23, 2016

$f ' \left(x\right) = 6 x {e}^{{x}^{2}} \cos \left(3 {e}^{{x}^{2}} + 1\right)$
$f \left(x\right) = \sin \left(3 {e}^{{x}^{2}} + 1\right)$
$f ' \left(x\right) = \cos \left(3 {e}^{{x}^{2}} + 1\right) \left(6 x {e}^{{x}^{2}}\right)$
$f ' \left(x\right) = 6 x {e}^{{x}^{2}} \cos \left(3 {e}^{{x}^{2}} + 1\right)$