### Home > PC3 > Chapter 13 > Lesson 13.2.2 > Problem13-75

13-75.

Use the definition of instantaneous rate of change, $\lim \limits _ { h \rightarrow 0 } \frac { f ( x + h ) - f ( x ) } { h }$, to determine the instantaneous rate of change of $f\left(x\right) = x^{2} + 2$ at $x = 4$.

$\lim \limits _ { h \rightarrow 0 } \frac { (4+h^{2})+2 - (4^{2}+2)} { h }$