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Theorem & derivative test.docx

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Department
Mathematics
Course
MATH100
Professor
Ian Blokland
Semester
Winter

Description
Rolles Theorem fc0forsomecbetweenabAssumefxisdifferentiablethatfafbApplication 3fx0fxx5x2Show thathas exactly one root Intermediate Value Theorem fxiscontinuousf02f14fc0forsomec10fa0fb0for2differentxvaluesSuppose 2fx3x5fc0forsomeacbRolles Theorem 23c50nosuchcNo 2 solutions can exist therefore there is exactly one root
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