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If y = log(cosex), then dy/dx is :

(a) cos ex−1

(b) e-x cos ex

(c) ex sin ex 

(d) − ex tanex

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Option : (d)

y = log(cosex

Differentiating wrt x :

\(\frac{dy}{dx}\) \(\frac{1}{cos(e^x)}.\) (-sin ex) . e(chain rule)

⇒ \(\frac{dy}{dx}\) = −ex tan ex

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