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MathCalculus

Derivatives of Trigonometric Functions: Differentiate sin x cos x

Differentiate sin x cos x with the product rule and check the result by a double-angle identity.

Question

Find the derivative of f(x)=sin⁡xcos⁡xf(x)=\sin x\cos x with respect to xx.

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Evidence boundary

The result assumes radians, as in standard calculus differentiation. It follows from the stated function and differentiation rules; no graph or measured data is involved.