Learn what stationary points are, how to find them, and how to determine their nature

Key Points

Stationary points occur where f ‘(x)=0

To find stationary points let f ‘(x)=0 and solve

The ‘nature’ of stationary points is what type they are

The three types are ‘maximum turning point’, ‘minimum turning point’, and ‘point of inflection’

To determine the nature of a stationary point use a nature table or the second derivative test

Stationary points also allow us to determine where a function is increasing or decreasing