For a curve defined parametrically by and

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

Problem

For a curve defined parametrically by

x=f(t)

and

y=g(t)

, which of the following expressions gives

\dfrac{dy}{dx}

in terms of derivatives with respect to

t

? (a)

\dfrac{dy}{dt}\,\dfrac{dx}{dt}

(b)

\dfrac{\dfrac{dx}{dt}}{\dfrac{dy}{dt}}

(c)

\dfrac{\dfrac{dy}{dt}}{\dfrac{dx}{dt}}

(d)

\dfrac{dy}{dt}+\dfrac{dx}{dt}