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Mathematics · JEE | CONTINUITY AND DIFFERENTIABILITY
हिन्दीFind the derivative of \( y = \cos^{-1}(e^x) \) with respect to \( x \).
View Answer & Solution
Correct answer · Option B
\( \frac{-e^x}{\sqrt{1 - e^{2x}}} \)
Explanation
By the chain rule, \( \frac{dy}{dx} = \frac{-1}{\sqrt{1 - (e^x)^2}} \cdot \frac{d}{dx}(e^x) = \frac{-e^x}{\sqrt{1 - e^{2x}}} \).
