Chapter 2 - Differentiation - 2.1 Exercises - Page 103: 15

$\\h'(s)=\frac{2}{3}$

$\\h(s)=3+\frac{2}{3}s$ $\\h'(s)=\lim\limits_{Δs \to 0}\frac{3+\frac{2}{3}(s+Δs)-3-\frac{2}{3}s}{Δs}$ $\\h'(s)=\lim\limits_{Δs \to 0}\frac{3+\frac{2}{3}s+\frac{2}{3}Δs-3-\frac{2}{3}s}{Δs}$ $\\h'(s)=\lim\limits_{Δs \to 0}\frac{\frac{2}{3}Δs}{Δs}$ $\\h'(s)=\lim\limits_{Δs \to 0}\frac{\frac{2}{3}Δs}{Δs}$ $\\h'(s)=\frac{2}{3}$