The Extreme Value Theorem | Calculus

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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.

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Love your tutorials man could you please give excersises after the tutorials to try and solve

edithanyaibe
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A proof of this in the real analysis series would be nice, i looked online but it seems it uses Bolzano-Weirstrass and it gets a bit confusing. Thnx for your great content

wannabehuman.production
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Thank you very much. I have a Calculus exam soon

ayah_qreshat
welcome to shbcf.ru