Question

What should always be checked before using the main formula for the derivative of parametric functions?

Options

• \(\frac{dx}{dt}\neq 0\)

• \(t=0\)

• \(x\neq 0\) and \(y\neq 0\)

• \(\frac{dy}{dt}\neq 0\) only

Answer 1

The denominator of the formula is \(\frac{dx}{dt}\). Thus, one must always check that \(\frac{dx}{dt}\neq 0\) before applying the formula directly.