Question

In calculus, which expression represents the rate of change of \(y\) with respect to \(x\) and is used in geometry, motion, business mathematics, and many real-life situations?

Options

• \[\frac{dx}{dy}\]

• \[\frac{dy}{dt}\]

• \[\frac{dy}{dx}\]

• \[\frac{dx}{dt}\]

Answer 1

In calculus, \[\frac{dy}{dx}\] represents the rate of change of \(y\) with respect to \(x\).
This derivative idea is used in geometry, motion, business mathematics, and many real-life situations.