Proof Using Darboux's If f is derivable in [a, b] and f' (a) #f' (b), then for eachnumber k lying between f' (a) and f' (b), 3 some point c e ]a, b[ such thatf' (c) = k.

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Answered: If f is derivable in [a, b} and f' (a)…

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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If f is derivable in [a, b} and f' (a) #f' (b), then for each number k lying between f' (a) and f' (b), 3 some point ce } a, b[ such that f' (c) = k.