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!

Identifying The Relative Maximum and Minimum Values of a Function

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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