Let . If , determine the value of…

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

Problem

Let

f(x)=ax^{2}+\sin x-3\cos x

. If

f'(\pi/2)=0

, determine the value of

a

. (a)

-\dfrac{1}{\pi}

(b)

\dfrac{3}{\pi}

(c)

-\dfrac{3}{\pi}

(d)

-\dfrac{\pi}{3}

Related theory

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

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