 Solution

ID: past-exam-of-the-mathematics-course-of-the-year-1-of-the-natural-sciences-course-of-the-university-of-cambridge/2013/paper-1/8/b/solution

Differentiate the outer sine, then the inner cosine. The chain rule gives

\frac{d}{d x} sin (cos x) = - sin x cos (cos x) .

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