Fluency exercise

# Parametric points Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Warm-up

A curve in the $x-y$ plane is defined parametrically in terms of a parameter $t$ as $x=2 \cos t,\quad y=3 \sin t.$

Find an expression for $\dfrac{dy}{dx}$ in terms of $t$.

Hence find the stationary points on the curve.

Are there any values of $t$ for which $\dfrac{dy}{dx}$ is undefined? What would that mean?