The Extreme Value Theorem | Calculus
We introduce the Extreme Value Theorem, which states that if f is a continuous function on a closed interval [a,b], then f takes on a maximum f(c) and a minimum f(d) at points c and d in the interval [a,b]. We also discuss critical points/critical numbers and their importance to finding extreme values. We then look at several examples of continuous and discontinuous functions where the EVT does and doesn't apply. We finish with a basic set of Extreme Value Theorem problems. Find Absolute Extrema on Closed Interval: • Find Absolute Extrema of Function on Close... Calculus 1 Exercises playlist: • Calculus 1 Exercises Calculus 1 playlist: • Calculus 1 ◉Textbooks I Like◉ Graph Theory: https://amzn.to/3JHQtZj Real Analysis: https://amzn.to/3CMdgjI Proofs and Set Theory: https://amzn.to/367VBXP (available for free online) Statistics: https://amzn.to/3tsaEER Abstract Algebra: https://amzn.to/3IjoZaO Discrete Math: https://amzn.to/3qfhoUn Number Theory: https://amzn.to/3JqpOQd ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: / wrathofmathlessons ◆ Donate on PayPal: https://www.paypal.me/wrathofmath 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... ● Instagram: / wrathofmathedu ● Facebook: / wrathofmath ● Twitter: / wrathofmathedu My Math Rap channel: / @mathbars2020
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