## Calculus Concepts: An Informal Approach to the Mathematics of Change 5th Edition

$f(t(p)) =3 e^{4 p^{2}}$ and $f(t(2)) =3 e^{16}$
Given $$f(t)=3 e^{t} ; t(p)=4 p^{2}$$ Since $f(t(p))$ is given by \begin{align*} f(t(p))&=3 e^{p(t)} \\ &=3 e^{4 p^{2}} \end{align*} and $f(t(2)) =3 e^{16}$