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AP® Calculus AB-BC

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Moderate

Comparing Two Different Tangent Slopes

APCALC-EFJI5Z

Consider $f(x)=\cos^2 x$ and $g(x)=0.25x^3$ on the interval $[-\pi, \pi]$. The tangent slope of $f$ is larger than the tangent slope of $g$ for which value of $x$?

A

$-2$

B

$-1$

C

$0$

D

$1$