2. The Mean Value Theorem (M.V.T.). First proved by Joseph-Louis Lagrange. 1.) Let f be a continuous function on the interval [a, b]. 2.) Differentiable on the open interval (a, b). Then there is a number c in (a, b) such that Ab) - la) f'(c) b-a Determine whether the M.V.T. can be applied. h(x) = x- 2 sinx [- x, x].
2. The Mean Value Theorem (M.V.T.). First proved by Joseph-Louis Lagrange. 1.) Let f be a continuous function on the interval [a, b]. 2.) Differentiable on the open interval (a, b). Then there is a number c in (a, b) such that Ab) - la) f'(c) b-a Determine whether the M.V.T. can be applied. h(x) = x- 2 sinx [- x, x].
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...
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![2. The Mean Value Theorem (M.V.T.). First
proved by Joseph-Louis Lagrange.
1.) Let f be a continuous function on the
interval [a, b].
2.) Differentiable on the open interval (a, b).
Then there is a number c in (a, b) such that
f"(c) = 6) - Aa)
b- a
Determine whether the M.V.T. can be
аpplied.
h(x) - х- 2 sinx [-я, я].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad528ab3-1966-49ed-a816-4b6bae84b4cd%2F576cda0a-9def-4691-9e1f-c28550c36b25%2Fjwi8x09_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. The Mean Value Theorem (M.V.T.). First
proved by Joseph-Louis Lagrange.
1.) Let f be a continuous function on the
interval [a, b].
2.) Differentiable on the open interval (a, b).
Then there is a number c in (a, b) such that
f"(c) = 6) - Aa)
b- a
Determine whether the M.V.T. can be
аpplied.
h(x) - х- 2 sinx [-я, я].
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