Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.3 Derivatives Of Inverse Functions; Derivatives And Integrals Involving Exponential Functions - Exercises Set 6.3 - Page 432: 43

$${\text{True}}$$

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