10.2 Parametric Equations & Polar Coordinates
Calculus With Parametric Curves
Question #4 (Medium): Horizontal & Vertical Tangents for Parametric Curve
Tangent line is horizontal when its slope is equal to . Since , tangent line is horizontal when
the numerator component
Tangent line is vertical when its slope is undefined, meaning the denominator is equal to . Thus, for
parametric equations, it is when .
Find the points on the curve where the tangent is horizontal and vertical.
In order to find horizontal and vertical tangents, first and need to be determined.
For horizontal tangents,