Identifying Stationary Points (Critical Points) for a Function
Key Questions

A stationary (critical) point
#x=c# of a curve#y=f(x)# is a point in the domain of#f# such that either#f'(c)=0# or#f'(c)# is undefined. So, find f'(x) and look for the xvalues that make#f'# zero or undefined while#f# is still defined there. 
Definition
A number#c# in the domain of#f# is called a critical number if#f'(c)=0# or#f'(c)# is undefined.I hope that this was helpful.
Questions
Graphing with the First Derivative

Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)

Identifying Stationary Points (Critical Points) for a Function

Identifying Turning Points (Local Extrema) for a Function

Classifying Critical Points and Extreme Values for a Function

Mean Value Theorem for Continuous Functions