Differentiate ecos x w.r.t. x. - Vidyadip

Question

Differentiate e^{cos x} w.r.t. x.

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Answer

Let y = e^{cos x}
Using chain rule, we have
$\frac{d y}{d x}$ = e^{cos x} . (- sin x) = -(sin x) e^{cos x}

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