Determine whether Rolle's Theorem can be applied to f on the closed interval la, b]. (Select all that apply.) f(x) = 4 tan x, [0, T] O Yes, Rolle's Theorem can be applied. O No, because fis not continuous on the closed interval [a, b]. O No, because fis not differentiable in the open interval (a, b). O No, because f(a) * f(b). f Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied enter NA.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = 4 tan x, [0, n]
O Yes, Rolle's Theorem can be applied.
O No, because fis not continuous on the closed interval [a, b].
O No, because fis not differentiable in the open interval (a, b).
O No, because f(a) = f(b).
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied,
enter NA.)
C =
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.) f(x) = 4 tan x, [0, n] O Yes, Rolle's Theorem can be applied. O No, because fis not continuous on the closed interval [a, b]. O No, because fis not differentiable in the open interval (a, b). O No, because f(a) = f(b). If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.) C =
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