Stationary Points (Turning Points)

Stationary points are a very useful component in graph sketching and a great direct application of differentiation. In this video we will go through what stationary points are, how to find minimum and maximum stationary points and learn about points of inflection. Before watching this video we highly recommend that you watch the first video of our differentiation series here: Differentiation - https://www.youtube.com/watch?v=HNDIS_mZb0E&t=513s&ab_channel=Mathacy Problem Sheet: https://mathacy.com/videos/differentiation-playlist Website: https://mathacy.com Timestamps: 0:00 - Intro 0:16 - Increasing and decreasing functions 0:26 - Defining stationary points 1:12 - Maximum and minimum points 1:31 - Gradient of a stationary point 2:47 - Examples 4:38 - How to find out if a stationary point is a minimum or maximum 4:59 - Checking nearby points 7:06 - Second derivative method 11:14 - Point of inflection