Consider the function $f(x)=2x^3-5x$ on the interval $-2,2.$

Find the average or mean slope of the function on this interval

By the Mean Value Theorem, we know there exists at least one $c$ in the open interval

$(-2,2)$ such that $f^{\text{'}}(c)$ is equal to this mean slope.

For this problem, there are two values of $c$ that work.

The smaller one is

and the larger one is