Calculus with Applications (10th Edition)

For x = 0 the instantaneous rate of change is $\lim\limits_{h \to 0} \frac{x(0 + h) - s(0)}{h}$ $x(0+h)=(0+h)^{2}+2(0+h)=h^{2}+2h$ $x(0) = 0$ The instantaneous rate of change is then: $\lim\limits_{h \to 0} \frac{x(0 + h) - s(0)}{h} = \lim\limits_{h \to 0} \frac{h^{2}+2h}{h}=\lim\limits_{h \to 0} 2 = 2$