Coordinate Geometry
Lines
specify a line through two points
specify a line by slope and intercept
Planes
specify a plane through three points
Quadrants
identify the quadrant that contains a given point
plot a conic section and identify its type
find a circle passing through three points
compute properties of a parabola
find the tangent to the graph of a function at a point
find the normal to a curve specified by an equation
compute the curvature of a plane curve
compute the curvature of a space curve at a point
locate stationary points of a function
find stationary points of a function of several variables
locate intercepts of a line or curve in the plane
locate intercepts of a plane or surface
locate inflection points of a function
find inflection points in a specified domain
locate saddle points of a function
find the saddle point nearest to a specified point
find cusps on the graph of a function
find corners on the graph of a function