# How do you find the instantaneous rate of change of f(t)=(2t^3-3t+4) when t=2?

$f ' \left(2\right) = 21$.
$f \left(t\right) = 6 {t}^{2} - 3$
By pluging in $t = 2$,
$f ' \left(2\right) = 6 {\left(2\right)}^{2} - 3 = 21$