### Find the relative maximum and minimum

Finding Maxima and Minima using Derivatives Where is a function at a high or low point? Calculus can help! A Quick Refresher on Derivatives A derivative basically finds the slope of a function.

## What Is The Difference Between A Relative Extrema and An Absolute Extrema?

Second Derivative Test When a function's slope is zero at x , and the second derivative at x is: less than 0, it is a local maximum greater than 0, it is a local minimum equal to 0, then the test fails there may be other ways of finding out though. Don't look at the graph yet!

A high point is called a maximum plural maxima. A low point is called a minimum plural minima. The general word for maximum or minimum is extremum plural extrema.

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- Extremum of a Function.
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Check out this graph: The tops of the mountains are relative maximums because they are the highest points in their little neighborhoods relative to the points right around them : Suppose you're in a roomful of people like your classroom. Accept All Cookies.

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## Finding Minimums and Maximums

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## Maxima and Minima of Functions of Two Variables

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