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Numerade Educator



Problem 15 Easy Difficulty


$ f(\theta) = \theta $ cos $ \theta $ sin $ \theta $


$f^{\prime}(\theta)=1 \cos \theta \sin \theta+\theta(-\sin \theta) \sin \theta+\theta \cos \theta(\cos \theta)=\cos \theta \sin \theta-\theta \sin ^{2} \theta+\theta \cos ^{2} \theta$ $=\sin \theta \cos \theta+\theta\left(\cos ^{2} \theta-\sin ^{2} \theta\right)=\frac{1}{2} \sin 2 \theta+\theta \cos 2 \theta$

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Video Transcript

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