# Calculus/Polar Differentiation

From Wikibooks, open books for an open world

< Calculus

### Differential calculus[edit]

We have the following formulas:

To find the Cartesian slope of the tangent line to a polar curve *r*(θ) at any given point, the curve is first expressed as a system of parametric equations.

Differentiating both equations with respect to θ yields

Dividing the second equation by the first yields the Cartesian slope of the tangent line to the curve at the point (*r*, *r*(θ)):