Differentiation of Polar Equations**
- In mathematics, the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by:
- The reference point is called the pole, and the ray from the pole in the reference direction is the polar axis.
- The radial coordinate is often denoted by r, and the angular coordinate by θ.
- The initial motivation for the introduction of the polar system was the study of circular and orbital motion.
- Polar coordinates are most appropriate in any context where the phenomenon being considered is inherently tied to direction and length from a center point.
- Many physical systems—such as those concerned with bodies moving around a central point or with phenomena originating from a central point—are simpler and more intuitive to model using polar coordinates.