Defining and Differentiating Parametric Equations
Learn how parametric equations define x and y separately, how to eliminate the parameter, and how to find dy/dx and d²y/dx² for AP Calculus BC.
Converting Between Polar and Rectangular Coordinates
Learn how to convert between polar and rectangular coordinates using x = r cos θ, y = r sin θ, and r² = x² + y², with step-by-step AP Calculus examples and practice problems.
Comparing Parametric, Polar, and Rectangular Representations
Compare rectangular, parametric, and polar representations of curves, including when to use each form, how to convert between them, and how derivatives and areas differ in AP Calculus.
Common Mistakes with Parametric Differentiation
Avoid the most common mistakes with parametric differentiation, including forgetting dy/dt over dx/dt, using the wrong variable, and mishandling second derivatives.
Arc Length of a Parametric Curve
Learn how to find the arc length of a curve defined parametrically, with the formula, step-by-step methods, and fully worked AP Calculus BC examples.