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