Derivative of Composite Function/Examples/a^sin x

Example of Derivative of Composite Function

 * $\map {\dfrac \d {\d x} } {a^{\sin x} } = \cos x a^{\sin x} \ln a$

Proof
Let $u = \sin x$.

Let $y = a^u$.

Thus we have:
 * $y = a^{\sin x}$

and so: