Let f(x) = x² + sinx. Show that there exists x € (−2, 2) such that ƒ'(x) = 0.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 23E
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[Calculus question] Could u please solve this quesiton and state the theorem u used? (such as Rolle theorem) Thank u! 

a) Let f(x) = x4 + sinx. Show that there exists x € (-2,2) such that f'(x) = 0.
Transcribed Image Text:a) Let f(x) = x4 + sinx. Show that there exists x € (-2,2) such that f'(x) = 0.
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