Consider the function $f(x)=4x^3-3xon$ the interval $-3,3.$ Find the average $or$ mean slope $of$ the

function $on$ this interval.

$By$ the Mean Value Theorem, $we$ know there exists $at$ least one $cin$ the open interval $(-3,3)$ such that

$f^{\text{'}}(c)is$ equal $to$ this mean slope.

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

The smaller one $is$

and the larger one $is$