Calculus AB/BC – 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points

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This lesson follows the Course and Exam Description recommended by College Board for *AP Calculus. On our website, it is found under Calculus Version #1.

*AP® is a trademark registered and owned by the College Board, which was not involved in the production of, and does not endorse, our videos or our website.
  1. The Algebros
  2. flippedmath
  3. The Algebros
  4. Flippedmath.com
  5. Extrema
  6. Extreme Value Theorem
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Комментарии
Автор

Thank you for a great video! However, I'm kind of confused about the last one? How exactly do we find the critical points? You put the denominator equal to zero and got x= 2 and x=-2 but then you said these are not valid and that the only way to get critical points is when the denominator is 0?

ayshaghanawi
Автор

Thanks for the videos, but I do have one question?

The extremely value theorem says these functions have to be continuous on the interval [a, b], but the first three functions have holes (so not continuous).

So how could we apply the Extreme Value Theorem when we have these holes/not continuous?

MichaelSmith-zmqi
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i dont think i am going to pass this AP exam
A.J.

kamilamohamed
Автор

Thank you for this video! At 9:09 in the second problem, is there an absolute minimum? If not, why? Thanks!

kylelee