Questionpoint) Given a power function of the form $f(x)=a x^{n}$, with $f^{\prime}(1)=20$ and $f^{\prime}(2)=320$, find $n$ and $a$.

Studdy Solution
Now that we have $n = 5$, substitute back to find $a$:
From $a n = 20$:
$$a \cdot 5 = 20$$ $$a = \frac{20}{5}$$ $$a = 4$$
The values of $n$ and $a$ are:
$$n = 5$$ $$a = 4$$