Mathematics

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}

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

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

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