jee-main 2013 Q81

jee-main · India · 07apr Chain Rule Chain Rule with Composition of Explicit Functions

If $y = \sec\left(\tan^{-1}x\right)$, then $\frac{dy}{dx}$ at $x = 1$ is equal to
(1) 1
(2) $\sqrt{2}$
(3) $\frac{1}{\sqrt{2}}$
(4) $\frac{1}{2}$

If $y = \sec\left(\tan^{-1}x\right)$, then $\frac{dy}{dx}$ at $x = 1$ is equal to\\
(1) 1\\
(2) $\sqrt{2}$\\
(3) $\frac{1}{\sqrt{2}}$\\
(4) $\frac{1}{2}$

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