Finding Absolute Maximum and Minimum Values – Absolute Extrema

Finding Absolute Maximum and Minimum Values - Absolute Extrema

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”

  1. Addis Derese says:

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    Chemistry tutor :/ but respect

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    Most most thank you sir.. 😊

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    The thing im looking for wasn't answered.
    Another confusion🥺

  5. CHHAVI MUDGAL says:

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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?

  9. Naruto Uzumaki says:

    Nice it help me with my homework 100/100

  10. NORLYN ANN VILLARIN says:

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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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  15. Nbomb2309 says:

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  18. Wajahat Ullah says:

    Here because I was sleeping during my online class..

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    U made it interesting

  20. Earth lover says:

    Interesting to watch this

  21. Raza Rizvi says:

    how to solve trigonometric functions?

  22. Taiwo Seyi says:

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

  23. Ortega Sean Michael says:

    may I know where did you get 6 as a divisor at 8:30?

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    karımdan gizli izliyorum, umarım beni calculus videosu izlerken yakalamaz

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    fucking stupid

  35. Desirae Gallardo says:

    thank you so much !!!!! I learn more from you in minutes than I do in my hour and a half calculus class. five minutes in I now know how to complete the rest of my homework !!! I can't tell you how many times this has happened to me.

  36. Ahmet Sami Cemek says:

    I was struggling with my HW. Your video made things clear. Thank you so much!

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