# Examples of Derivatives of Exponential Functions

Example: Differentiate ${a^{\sin x}} + {e^{\cos x}}$ with respect to $x$.

We have the given function

Now differentiate both sides with respect to $x$

Using the derivative formula for exponential functions, we have

Example: Find $\frac{{dy}}{{dx}}$, if the given function is

We have the given function as

Now differentiate both sides with respect to $x$