Let . (i) Calculate . (ii) Using the value obtained, decide whether is increasing or…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let g(x)=cos⁡xg(x)=\cos x. (i) Calculate g′(π/3)g'(\pi/3). (ii) Using the value obtained, decide whether g(x)g(x) is increasing or decreasing in a neighbourhood of x=π/3x=\pi/3, giving reasons for your answer.

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