Rolle's Theorem states: Let f be continuous on the closed interval [a, b] and differentiable on the open Interval (a, b). If f(a) = f(b), then there is at least one number c in (a, b) such that f '(c) = As with the application of any theorem to a specific instance, we first check that the initial conditions are met. From the graph and our knowledge of the tan function, we determine that the given function has these qualities. (Select all that apply.) Continuous on the closed interval Differentiable on the open Interval Discontinuous on the closed interval Non-differentiable on the open Interval Submit Skip (you cannot come back)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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8. Please just solve step 2 ASAP

Use a graphing utility to graph the function on the closed Interval [a, b]. Determine whether Rolle's Theorem can be applied to f on the Interval and, If so, find all values of c In the open Interval (a, b) such that f'(c) = 0.
f(x) = 7x - tan(x),
Step 1
Using a graphing utility, graph the function on the given Interval.
-0.2
-0.1
ا
-0.2
-0.1
0.1
0.1
0.2
0.2
ہ
OP
-0.2
-0.1
-0.1
-0.5
0.5
0.5
-0.5
0.1
0.1
0.2
0.2
Transcribed Image Text:Use a graphing utility to graph the function on the closed Interval [a, b]. Determine whether Rolle's Theorem can be applied to f on the Interval and, If so, find all values of c In the open Interval (a, b) such that f'(c) = 0. f(x) = 7x - tan(x), Step 1 Using a graphing utility, graph the function on the given Interval. -0.2 -0.1 ا -0.2 -0.1 0.1 0.1 0.2 0.2 ہ OP -0.2 -0.1 -0.1 -0.5 0.5 0.5 -0.5 0.1 0.1 0.2 0.2
Rolle's Theorem states:
Let f be continuous on the closed interval [a, b] and differentiable on the open Interval (a, b). If f(a) = f(b), then there is at least one number c in (a, b) such that f '(c) =
As with the application of any theorem to a specific instance, we first check that the initial conditions are met. From the graph and our knowledge of the tan function, we determine that the given function has these qualities. (Select all that apply.)
Continuous on the closed interval
Differentiable on the open Interval
Discontinuous on the closed interval
Non-differentiable on the open Interval
Submit Skip (you cannot come back)
Transcribed Image Text:Rolle's Theorem states: Let f be continuous on the closed interval [a, b] and differentiable on the open Interval (a, b). If f(a) = f(b), then there is at least one number c in (a, b) such that f '(c) = As with the application of any theorem to a specific instance, we first check that the initial conditions are met. From the graph and our knowledge of the tan function, we determine that the given function has these qualities. (Select all that apply.) Continuous on the closed interval Differentiable on the open Interval Discontinuous on the closed interval Non-differentiable on the open Interval Submit Skip (you cannot come back)
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