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MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider f(θ)=sin⁡(3θ)+θf(\theta)=\sin(3\theta)+\theta for 0<θ<π20<\theta<\tfrac{\pi}{2}. At what value of θ\theta does ff attain a local minimum on this interval? (a) θ≈1.05\theta\approx1.05 (b) θ≈1.46\theta\approx1.46 (c) θ≈0.64\theta\approx0.64 (d) θ≈1.16\theta\approx1.16

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