Find the derivative of e^(cos x) with respect to x. A. e^(cos x) sin x B. −sin x e^(cos x) C. e^(sin x) D. cos x e^(cos x) Answer: B) −sin x e^(cos x) Explanation: By chain rule, d/dx(e^u) = e^u × u'. Here u = cos x, u' = −sin x. The result is −sin x e^(cos x).

imo class 12 continuity and differentiability

Find the derivative of e^(cos x) with respect to x.

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Find the derivative of e^(cos x) with respect to x.

Answer: B) −sin x e^(cos x)

Explanation: By chain rule, d/dx(e^u) = e^u × u'. Here u = cos x, u' = −sin x. The result is −sin x e^(cos x).