Let . What is…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let f(x)=5sin⁡x−2cos⁡xf(x)=5\sin x-2\cos x. What is f′(π/3)f'(\pi/3)? (a) 52−3\dfrac{5}{2}-\sqrt{3} (b) 532−1\dfrac{5\sqrt{3}}{2}-1 (c) 52+3\dfrac{5}{2}+\sqrt{3} (d) 52+32\dfrac{5}{2}+\dfrac{\sqrt{3}}{2}

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