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:

    i have no words to thank you!!!

  2. Guadalupe+Aparecida+Vailankanni says:

    Chemistry tutor :/ but respect

  3. Subhadip Mondal says:

    Most most thank you sir.. 😊

  4. Nuclear Moon says:

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

  5. CHHAVI MUDGAL says:

    Thank you sir😭

  6. Lewis Dixon says:

    honestly, you're videos are so helpful thank you.

  7. ThE MaN says:

    thanks to your videos a glimmer of hope was added to my life

  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



  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.

  12. Great Olisah says:

    How does this guy know everything? 🙆🏽‍♂️

  13. TaSaWaR Ali says:


  14. Hz ShAd says:

    thank yoooooooooooooooooooooooooou sooooooooooooooooooooooooooooo muuuuuuuuch……. man u explain better than my textbook

  15. Nbomb2309 says:

    honestly i have a test today and the first 7 minutes made me more confident already

  16. David Olvera says:

    Why can't I be paying you to teach me instead of my college professor who sux

  17. ORKUN YILMAZ says:

    Usta samimi söylüyorum beton yetmez 1 saat sonra finalim var finalden sonra tekrar yazıcam

  18. Wajahat Ullah says:

    Here because I was sleeping during my online class..

  19. Earth lover says:

    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?

  24. Earth lover says:


  25. Earth lover says:

    This saves lives.

  26. Berkay Üstem says:

    karımdan gizli izliyorum, umarım beni calculus videosu izlerken yakalamaz

  27. Johnny Harlock says:

    i love the excitement of having to bump the volume of these videos to then go on a different channel for math help only to blow out my ears. Works every time on 🙃

  28. Joshua Isidro says:

    Thank you 🙏

  29. E says:

    thank you my lord

  30. مصطفى الاسود says:

    Thanks from the bottom of my heart ❤️

  31. Layan Q says:

    You are the best , I really appreciate your videos 🤍🤍🤍🤍🦋

  32. Samuel Gatiru says:

    In all honesty this man actually deserves some type of award. I know for a fact he's helped so many students reach their academic and career goals. And I honestly don't know where I would be without him.

  33. Yuno Gasai says:

    Damn. I would've kiss you if I could. You save my assignment. 😂😂😂😂

  34. brody montanaro says:

    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!

  37. Owen Buckley says:

    you are an absolute god amongst men

  38. Ratan Deep says:

    I believe you are god.

  39. Michael McKay says:

    this man will never die

  40. Jonathan Popham says:

    I'm contributing to his patreon, I ask you to do the same. This man is the best Calculus prof on youtube. He helped you earn your grade. Consider contributing what you can so he can help more students. This channel is beneficial to humanity, seriously.

  41. Jonathan Popham says:


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