For , what is…

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

Problem

For g(x)=cot⁡ ⁣(2x+π3)g(x)=\cot\!\left(2x+\dfrac{\pi}{3}\right), what is g′ ⁣(π6)g'\!\left(\dfrac{\pi}{6}\right)? (a) −43-\dfrac{4}{3} (b) −163-\dfrac{16}{3} (c) −83-\dfrac{8}{3} (d) 83\dfrac{8}{3}

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