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Chapter 2. The Derivative > Minimum, Maximum, and the First and Second Derivati...

2.27. Minimum, Maximum, and the First and Second Derivatives

• This section includes local and global minimum and maximum points and the first and second derivatives.

• Evaluating first and second derivatives of functions to find minimum and maximum points is a common application of the derivative. When experiments or evaluations are conducted in science, business, engineering, etc., data is gathered, relationships are developed, and graphs are constructed in order to assist in the understanding of the data and to predict future patterns and events. Information depicted in graphs, such as where the graph is rising or falling, convex or concave, or where the high and low points are located, correspond to maximum and minimum values and is crucial to the evaluation of the data.


  

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