Consider on the closed interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider

p(x)=x^{2}\u200b\sec x

on the closed interval

\left[-\dfrac{\pi}{4},\dfrac{\pi}{4}\right]

. At which value of

x

does

p

attain its absolute minimum on this interval? (a)

x=-\dfrac{\pi}{6}

(b)

x=-\dfrac{\pi}{4}

(c)

x=0

(d)

p

has the same minimum at

x=-\dfrac{\pi}{4}

and

x=\dfrac{\pi}{4}