Differentiate e^ 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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