Find the derivative of e^cos²x

by RoRi

November 10, 2015

Find the derivative of the following function:

$f(x) = e^{\cos^2 x}.$

Using the chain rule and the formula for the derivative of the exponential we have,

$f'(x) = (\cos^2 x)' e^{\cos^2 x} = -2 \sin x \cos x e^{\cos^2x } = -\sin(2x) e^{\cos^2 x}.$

Stumbling Robot