# Composite exponential function differentiation

Differentiate functions that have the variable both in the base and in the exponent. For example, differentiate xˣ.

### Problem

Let y, equals, x, start superscript, start superscript, e, start superscript, x, end superscript, end superscript, end superscript.
Find start fraction, d, y, divided by, d, x, end fraction.
Please choose from one of the following options.