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

Problem

f(x)=5\sin x

, calculate

f'(x)

x=\dfrac{\pi}{6}

. (a)

\dfrac{5\sqrt{2}}{2}

(b)

\dfrac{5}{2}

(c)

\dfrac{5\sqrt{3}}{2}

(d)

-\dfrac{5\sqrt{3}}{2}

Related theory

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

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