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Find Absolute Extrema of Function on Closed Interval | Calculus 1
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We find the absolute extrema of functions on closed intervals by finding critical points and evaluating the function at its critical points and the endpoints of the domain. The smallest of these values is the minimum and the greatest value is the maximum. We know an absolute maximum and an absolute minimum will exist for a continuous function on a closed interval by the Extreme Value Theorem. #calculus1 #apcalculus
What are Critical Numbers?: (coming soon)
Proof that Relative Mins and Maxes Occur at Critical Numbers: (coming soon)
Extreme Value Theorem: (coming soon)
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Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
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Now you know how to find the absolute extrema of the function on the interval.
What are Critical Numbers?: (coming soon)
Proof that Relative Mins and Maxes Occur at Critical Numbers: (coming soon)
Extreme Value Theorem: (coming soon)
◉Textbooks I Like◉
★DONATE★
Thanks to Petar, dric, Rolf Waefler, Robert Rennie, Barbara Sharrock, Joshua Gray, Karl Kristiansen, Katy, Mohamad Nossier, and Shadow Master for their generous support on Patreon!
Follow Wrath of Math on...
Now you know how to find the absolute extrema of the function on the interval.
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