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

Problem

Calculate

\dfrac{d}{dx}\bigl(\sin 5x\bigr)

x=\dfrac{\pi}{6}

. (a)

\dfrac{5\sqrt3}{2}

(b)

-\dfrac{\sqrt3}{2}

(c)

-\dfrac{5\sqrt3}{2}

(d)

\dfrac{5}{2}

Related theory

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

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