Question

Under what condition is the formula \(\frac{dy}{dx}=\frac{dy/dt}{dx/dt}\) directly applicable?

Options

• \(\frac{dy}{dx}=0\)

• \(\frac{dy}{dt}=0\)

• \(\frac{dx}{dt}\neq 0\)

• \(\frac{dx}{dt}=0\)

Answer 1

The parametric derivative formula requires a nonzero denominator. Therefore, it is directly applicable when \(\frac{dx}{dt}\neq 0\).