Chapter 7: Transcendental Functions - Practice Exercises - Page 441: 119

$\frac{1}{e}$ $m/sec$

$\frac{dy}{dx}$ = $\frac{1}{x}$ $\frac{dx}{dt}$ = $\sqrt x$ $\frac{dy}{dt}$ = $\frac{dy}{dx}$ $\frac{dx}{dt}$ = $\frac{1}{x}(\sqrt x)$ = $\frac{1}{\sqrt x}$ $\frac{dy}{dt}$$|_{{\,e^{2}}}^{{\,}}$ = $\frac{1}{e}$ $m/sec$