Identifying Stationary Points (Critical Points) for a Function
Key Questions
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A stationary (critical) point
x=c of a curvey=f(x) is a point in the domain off such that eitherf'(c)=0 orf'(c) is undefined. So, find f'(x) and look for the x-values that makef' zero or undefined whilef is still defined there. -
Definition
A numberc in the domain off is called a critical number iff'(c)=0 orf'(c) is undefined.I hope that this was helpful.
Questions
Graphing with the First Derivative
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Interpreting the Sign of the First Derivative (Increasing and Decreasing Functions)
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Identifying Stationary Points (Critical Points) for a Function
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Identifying Turning Points (Local Extrema) for a Function
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Classifying Critical Points and Extreme Values for a Function
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Mean Value Theorem for Continuous Functions