If , then…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

f(x) = \sqrt{1 + \cos^2(x^2)}

, then

f' \left(\frac{\sqrt{\pi}}{2}\right)

is (a)

\sqrt{\pi}/6

(b)

-\sqrt{(\pi/6)}

(c)

1/\sqrt{6}

(d)

\pi/\sqrt{6}

Related theory

Advanced Differentiation
Differentiation Rules
Derivatives of standard functions via chain rule
Derivatives of composite functions
Continuity and Differentiability

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