Answered: Let f be a polynomial function, and let…

Let f be a polynomial function, and let a and b be two consecutive roots of the equation f'(x)=0. Show that f has at most one root in the interval (a,b).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.1: Polynomial Functions Of Degree Greater Than

Problem 36E

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Let f be a polynomial function, and let a and b be two consecutive roots of the equation f'(x)=0. Show that f has at most one root in the interval (a,b).

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