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Average Rate of Change for Inverse Trigonometric Function

APCALC-U11BNN

The function $f(x)=\tan ^{-1}x$ has an average rate of change equal to $\cfrac{\pi}{4}$ on the interval $[0,b]$ when $b=\underline{\hspace{1cm}}$

A

$\pi$

B

$\cfrac{\pi}{4}$

C

$1$

D

$\infty$