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?)
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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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?)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F813c1858-330a-4765-86df-c6b16594416a%2F6ac161af-7173-4950-8c0d-69b491444a13%2F2irstgv_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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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