Question

Which formula is used after finding \(\frac{dx}{dt}\) and \(\frac{dy}{dt}\)?

Options

• \(\frac{dy}{dx}=\frac{dy/dt}{dx/dt}\)

• \(\frac{dy}{dx}=\frac{dt}{dx}\frac{dt}{dy}\)

• \(\frac{dy}{dx}=\frac{dx/dt}{dy/dt}\)

• \(\frac{dy}{dx}=\frac{dx}{dt}+\frac{dy}{dt}\)

Answer 1

The derivative of \(y\) with respect to \(x\) is obtained by dividing the derivative of \(y\) with respect to the parameter by the derivative of \(x\) with respect to the parameter.