AP

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Evaluate

\displaystyle \left.\dfrac{d}{dx}\bigl[\sec(3x+\pi/6)\bigr]\right|_{x=0}

. (a)

\sqrt{3}

(b)

2

(c)

\dfrac{2}{\sqrt{3}}

(d)

\dfrac{2}{3}

Related theory

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

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