# Tangent and concavity of parametric equations - Parametric Equations and Polar Coordinates

### Tangent and concavity of parametric equations

In this lesson, we will focus on finding the tangent and concavity of parametric equations. Just like how we can take derivatives of Cartesian equations, we can also do it for parametric equations. First, we will learn to take the derivatives of parametric equations. Then we will look at an application which involves finding the tangents and concavity of a cycloid. After, we will look at special cases of finding a point with a horizontal tangent. Lastly, we will compare the difference of finding tangents by eliminating and without eliminating the parameter.

###### Basic concepts:

- Power rule
- Derivative of trigonometric functions
- Derivative of exponential functions
- Defining curves with parametric equations

###### Related concepts:

- Critical number & maximum and minimum values