Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
Question
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.)
f(x) = cot ,
[л, 5л]
O There are points on the interval (a, b) where f is not differentiable.
O None of these.
O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57].
O There are points on the interval [a, b] where f is not continuous.
O f '(a) does not equal f '(b) for any values in the interval [T, 57).
Transcribed Image Text:Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).
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