9.1 Defining and Differentiating Parametric Equations
Syllabus
2020
Topic
9.1
Level
—
CHA-3.G—Calculate derivatives of parametric functions
CHA-3.G Calculate derivatives of parametric functions.
CHA-3.G.1 Methods for calculating derivatives of real-valued functions can be extended to parametric functions.
CHA-3.G.2 For a curve defined parametrically, the value of dy/dx at a point on the curve is the slope of the line tangent to the curve at that point. dy/dx, the slope of the line tangent to a curve defined using parametric equations, can be determined by dividing dy/dt by dx/dt, provided dx/dt does not equal zero.
Enduring understanding CHA-3: Derivatives allow us to solve real-world problems involving rates of change.