If $ y=\sec \left(\tan ^{-1} x\right) $, then $ \frac{d y}{d x} $ at $ x=1 $ is equal to

JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

y=\sec \left(\tan ^{-1} x\right)

, then

\frac{d y}{d x}

x=1

is equal to

View answer and explanation

Correct option: D

\frac{1}{\sqrt{2}}

The correct answer is D (

\frac{1}{\sqrt{2}}

) because it is the value of the derivative of y with respect to x at x=1, after simplifying the function and differentiating.

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