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Lecture

Extreme Value.docx

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Department
Mathematics
Course
MATH100
Professor
Ian Blokland
Semester
Winter

Description
Application of derivativesPart 1 Defining Extreme Values text41 Suppose we have a function fx defined on a domain D xciffcfxforallxDWe say that f has an absolute maximum value at fcfxforallxDSimilarly an absolute minimum value requiresAlso used globalabsolutefxsinxGraphical examples xk2Abs max of 1 when 2xk2Abs min of 1 when 22fxxGraphical examples x0Abs min of 0 when fNo abs max No assumptiondomainRx01Assume that atx0Abs min of 0 Abs max of 1 at x1
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