Answer
$${\text{True}}$$
Work Step by Step
$$\eqalign{
& {\text{Let }}y = {e^x} \cr
& {\text{Differentiate with respect to }}x \cr
& \frac{{dy}}{{dx}} = \frac{d}{{dx}}\left[ {{e^x}} \right] \cr
& \frac{{dy}}{{dx}} = {e^x} \cr
& {\text{or}} \cr
& \frac{{dy}}{{dx}} = y \cr
& {\text{Therefore,}} \cr
& {\text{The statement is true}} \cr} $$