If is a function of and is a function of

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

Problem

If

y

is a function of

x

and

x

is a function of

t

, which of the following relations is correct? (a)

\displaystyle \frac{dy}{dt}=\frac{dx/dt}{dx/dy}

(b)

\displaystyle \frac{dy}{dt}=2\,\frac{dy}{dx}\,\frac{dx}{dt}

(c)

\displaystyle \frac{dy}{dt}=\frac{dy}{dx}\,\frac{dx}{dt}

(d)

\displaystyle \frac{dy}{dt}=\frac{dy/dx}{dt/dx}

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