AP

MATHEMATICS · Multi-part · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Let g(x)=(cos⁡(3x)+2sin⁡x)g(x)=\bigl(\cos(3x)+2\sin x\bigr). (1) Part 1: (a) Compute g′′′(0)g'''(0). (2) Part 2: (b) Determine g(4) ⁣(π3)g^{(4)}\!\left(\dfrac{\pi}{3}\right) in exact form.

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