Use the Power Rule. If $f(x)=ax^n$, then $f^\prime (x) = nax^{n−1}$.

$f^\prime (x) = 14x$

Remember that $\pi$ is just a number, not a variable!

Since $\pi\approx3$, what is the slope function of $y=3^2$? Use that to find the slope function of $f(x)=\pi^2$.

$f(x)$ is a horizontal shift of $y = 2^4+18x$, whose slope function is easy to find with the Power Rule (see hint in part (a)). As for $f(x)$, THINK! Since slopes will shift with the function... $f^\prime (x)$ will equal a shifted version of $y^\prime$.

$f^\prime (x) = 8(x−2)^3+18$

See hint in part (a).