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AP® Calculus AB-BC

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Moderate

Count Maxima Given a Graph

APCALC-USAK4R

The derivative of a function $g$ is given by $g'(x) = \cos \left( {{{\left( {x - \frac{\pi }{2}} \right)}^x}} \right)$. How many maxima does $g(x)$ have on the interval $[1.8, 3.7]$?

A

$2$

B

$3$

C

$5$

D

$6$