## Finding Absolute Maximum and Minimum Values – Absolute Extrema

This calculus video tutorial explains how to find the absolute maximum and minimum values of a function on a closed interval. Tto find the absolute extrema, you need to find the relative extrema by finding the first derivative of the function and the critical numbers. Plot the critical numbers on a number line to create sign chart. Using the sign chart and the first derivative test, determine what type of relative extrema is present – if it’s a relative maximum or a relative minimum. Next, place the critical numbers and the endpoints of the closed interval into an x y data table and compare the y values. The absolute maximum contains highest y value and the absolute minimum has the lowest y value. This tutorial has plenty of examples and practice problems for you to learn from.

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### 41 Responses to “Finding Absolute Maximum and Minimum Values – Absolute Extrema”

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4. Nuclear Moon says:

The thing im looking for wasn't answered.
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8. Hiroka Nakzawa says:

Im a bit lost. Why do you leave the (x-5) after canceling out the top (x-5) for the second example?

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11. Peng L says:

Thanks for the video but i recommend using some easier numbers/equation like the first example rather than the last. thanks you anyways.

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22. Taiwo Seyi says:

Thanks for this
But how do you get the (1,6) in example 2

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