17. Sketch the graph of f(x) = { 2x + 2, x ≤ −1 [x³−x, x>−1 and find the derivative. Determine whether ƒ satisfies the conditions of the mean-value theorem on the interval [−3, 2] and, if so, find the numbers c that satisfy the conclusion of the theorem.
17. Sketch the graph of f(x) = { 2x + 2, x ≤ −1 [x³−x, x>−1 and find the derivative. Determine whether ƒ satisfies the conditions of the mean-value theorem on the interval [−3, 2] and, if so, find the numbers c that satisfy the conclusion of the theorem.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![17. Sketch the graph of
f(x):
=
2x + 2,
3
x³ = x,
x ≤ -1
<
x > −1
and find the derivative. Determine whether f satisfies the
conditions of the mean-value theorem on the interval [-3,2]
and, if so, find the numbers c that satisfy the conclusion of
the theorem.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a310ed2-3377-4dab-b1a9-29fbcd4a5ef4%2Fb30d2b3d-d38e-4462-8cbc-fccc462b241f%2F3m6t9j_processed.png&w=3840&q=75)
Transcribed Image Text:17. Sketch the graph of
f(x):
=
2x + 2,
3
x³ = x,
x ≤ -1
<
x > −1
and find the derivative. Determine whether f satisfies the
conditions of the mean-value theorem on the interval [-3,2]
and, if so, find the numbers c that satisfy the conclusion of
the theorem.
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