2) Let f(x) be a differentiable function on the interval [gk]. What does the Mean Value Theorem tell us must happen on the interval [g.k]? To receive full credit, draw a picture and explain your picture in words. Your explanation should involve both secant and tangent lines. (b) What does the Mean Value Theorem tell us about f(x) = x² on the interval [0,2]? (c) |Verify that the Mean Value Theorem holds in (b) by finding an appropriate value of C.
2) Let f(x) be a differentiable function on the interval [gk]. What does the Mean Value Theorem tell us must happen on the interval [g.k]? To receive full credit, draw a picture and explain your picture in words. Your explanation should involve both secant and tangent lines. (b) What does the Mean Value Theorem tell us about f(x) = x² on the interval [0,2]? (c) |Verify that the Mean Value Theorem holds in (b) by finding an appropriate value of C.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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Question
![2) Let f(x) be a differentiable function on the interval [gk]. What does the Mean Value
Theorem tell us must happen on the interval [g.k]? To receive full credit, draw a picture and
explain your picture in words. Your explanation should involve both secant and tangent
lines.
(b) What does the Mean Value Theorem tell us about f(x) = x² on the interval [0,2]?
(c) |Verify that the Mean Value Theorem holds in (b) by finding an appropriate value of
C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77548912-c51c-4c9d-8b51-f3905a3bec75%2F4b2166fc-3dd3-4ba1-880a-68d8e6424f0f%2F1p7c8nn_processed.png&w=3840&q=75)
Transcribed Image Text:2) Let f(x) be a differentiable function on the interval [gk]. What does the Mean Value
Theorem tell us must happen on the interval [g.k]? To receive full credit, draw a picture and
explain your picture in words. Your explanation should involve both secant and tangent
lines.
(b) What does the Mean Value Theorem tell us about f(x) = x² on the interval [0,2]?
(c) |Verify that the Mean Value Theorem holds in (b) by finding an appropriate value of
C.
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