When both and vary with time (with )

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

Problem

When both

x

and

y

vary with time

t

(with

dx/dt\neq0

), which of the following gives the instantaneous rate

\displaystyle \frac{dy}{dx}

? (a)

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

(b)

\displaystyle \frac{dy}{dt}-\frac{dx}{dt}

(c)

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

(d)

\displaystyle \left(\frac{dy}{dt}\right)\left(\frac{dx}{dt}\right)

Related theory

Browse the problem library