Prove that for any polynomial P of degree

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
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2. Prove that for any polynomial P of degree <n, |P'(x) | < n (1 - x²)-1/2 || P ||, where
|| P ||
max | P (x) I, and –1 < x < 1.
Transcribed Image Text:2. Prove that for any polynomial P of degree <n, |P'(x) | < n (1 - x²)-1/2 || P ||, where || P || max | P (x) I, and –1 < x < 1.
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