The variables and are related by for and in

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

Problem

The variables

x

and

y

are related by

\sin y=3x^{2}

for

-\dfrac13<x<\dfrac13

and

y

in

\left(-\dfrac{\pi}{2},\dfrac{\pi}{2}\right)

. Which expression equals

\dfrac{dy}{dx}

in terms of

x

only? (a)

6x\sqrt{1-9x^{4}}

(b)

\dfrac{6x}{1-9x^{4}}

(c)

\dfrac{6x}{\sqrt{1-9x^{4}}}

(d)

\dfrac{6x}{\sqrt{1-9x^{2}}}

Related theory

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