Product Rule for Derivatives/Examples/Cotangent of x times Exponential of -x

Examples of Use of Product Rule for Derivatives

 * $\map {\dfrac \d {\d x} } {\cot x e^{-x} } = -e^{-x} \paren {\cot x + \cosec^2 x}$

Proof
Let $u = \cot x$.

Let $v = e^{-x}$.

Thus we have:
 * $y = u v$

and so: