Chapter 3 - Section 3.10 - Linear Approximations and Differentials. - 3.10 Exercises - Page 259: 19

(a) $dy = \frac{1}{10}~e^{x/10}~dx$ (b) $dy = 0.01$

(a) $y = e^{x/10}$ $\frac{dy}{dx} = \frac{1}{10}~e^{x/10}$ $dy = \frac{1}{10}~e^{x/10}~dx$ (b) $dy = \frac{1}{10}~e^{x/10}~dx$ $dy = \frac{1}{10}~e^{0/10}~(0.1)$ $dy = \frac{1}{10}~(1)~(0.1)$ $dy = 0.01$