M220 Sec2 9

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File: M220 Sec2 9

1 section 2 9 the mean value theorem rolle s theorem what goes up must come down theorem suppose that f is continuous on the closed interval f is dierentiable ...

Filetype PDF | Posted on 26 Jan 2023 | 4 years ago

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...Section the mean value theorem rolle s what goes up must come down suppose that f is continuous on closed interval dierentiable open a b then there c in for which geometrically means if function values are same at end points of and point tangent line horizontal check out picture below an existential it just says such doesn t say also does not claim to be unique as you might observe from graphical example could two like graph or even more caution requirements necessary true dashed orange connecting clearly over but no inside can drawn this why did fail because whole notethatthereisa cusp attheoriginhenceffailstobedierentiablethere find all numbers satisfy con clusion x following above let rst whether satis es conditions us apply first everywhere polynomial hence particular reason andf impliesf so we may guarantees have nd they by solving equation q make sure both these case our main purpose introducing prove though has other applications mvt some here going note quotient slope secant le...

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Posted on: 26 Jan 2023 | 4 years ago
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