Find the slope of the tangent to the curve at .

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

Problem

Find the slope of the tangent to the curve y=sin⁡x+xy=\sin x + x at x=π3x=\dfrac{\pi}{3}. (a) 1+321+\dfrac{\sqrt3}{2} (b) 32\dfrac{3}{2} (c) 12\dfrac{1}{2} (d) 32+π3\dfrac{\sqrt3}{2}+\dfrac{\pi}{3}

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