Consider the function.

$f(x)=co{s}^2(x),[-3,-2]$

Find the critical point$($s$)$ of $f.$

$($Give your answer in the form of a comma$-$separated list of values. Express numbers in exact form. Use symbolic notation an fractions where needed. Enter DNE if the function has no critical points.$)$

critical point$($s$)$:

Determine the local minima and local maxima of $f.$

$($Give your answer in the form of a comma$-$separated list. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if the function has no local minimum or local maximum.$)$

local minima at $x=$

Question Source: Rogawski $4$ e Calcul