Given that $V=\frac{1}{2}\pi t^4-3\pi t^2+4t$, find the rate of change of $V$ with respect to \(

Question

Given that $V=\frac{1}{2}\pi t^4-3\pi t^2+4t$, find the rate of change of $V$ with respect to $t$ when $t=2$, leaving your answer in term of $\pi$.

Accepted Answer

$4\pi+4$

Basics of Rate of Change