### Home > PC3 > Chapter 12 > Lesson 12.2.1 > Problem12-97

12-97.

Let $g(x) = x^2 − x$. Show that the instantaneous rate of change at $x = 3$ is $5$. That is, compute $\lim\limits_ { h \rightarrow 0 } \frac { g ( 3 + h ) - g ( 3 ) } { h }$.

$\lim\limits_ { h \rightarrow 0 } \frac { ( 3 + h )^2 - ( 3 + h )- ( 3^2-3 ) } { h }$