If , calculate at…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If

y=\exp\bigl(\tan^{-1}(\sqrt{4x^{2}+1})\bigr)

, calculate

\dfrac{dy}{dx}

at

x=0

. (a)

e^{\pi/4}

(b)

2e^{\pi/4}

(c)

0

(d)

\dfrac{e^{\pi/4}}{2}

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