Implicit Differentiation of Parametric Equations – where that “extra” dx/dt comes from.
A Vector’s Derivatives – The velocity and acceleration vectors illustrated.
Polar Equations for AP Calculus – An outline of what to know about polar curves.
Extreme Polar Conditions – Finding extreme values for polar curves.
Addition posts on vector and parametric equations. These eight posts explain how to write complicated curves using vectors. Suitable for precalculus; not required for AP calculus.
Rolling Circles – Roulettes
Hypocycloids and Hypotrochoids