1.Consider the functionf(x) = x - x + sin(27(x - 1)).Use the MVT to prove that there exists a c with 0

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1. Consider the function f(x)= x-x5+ sin(27(x - 1)). Use the MVT to prove that there exists a c with 0 < c < 1 such that the tangent line to the graph of f at c is horizontal. (Hint: What is the slope of a horizontal line?)

1. Consider the function f(x)= x-x5+ sin(27(x - 1)). Use the MVT to prove that there exists a c with 0 < c < 1 such that the tangent line to the graph of f at c is horizontal. (Hint: What is the slope of a horizontal line?)

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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1.
Consider the function
f(x) = x - x + sin(27(x - 1)).
Use the MVT to prove that there exists a c with 0 <c< 1 such that the tangent line to the
graph of f at c is horizontal. (Hint: What is the slope of a horizontal line?)

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Rolle's Mean value theorem (MVT).

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