Suppose that g(x) has a critical number at c such that a < c< b and g'(x) > 0 for x < c and g'(x) < 0 for x > c. Determine the location of the absolute maximum and absolute minimum of g(x) on the interval [a,b] or say that there is not enough information to make a conclusion. Write one sentence to explain your answer.
Suppose that g(x) has a critical number at c such that a < c< b and g'(x) > 0 for x < c and g'(x) < 0 for x > c. Determine the location of the absolute maximum and absolute minimum of g(x) on the interval [a,b] or say that there is not enough information to make a conclusion. Write one sentence to explain your answer.
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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![Suppose that g(x) has a critical number at c such that a <
c< b and g'(x) > 0 for x < c and g'(x) < 0 for x > c.
Determine the location of the absolute maximum and
absolute minimum of g(x) on the interval [a,b] or say that
there is not enough information to make a conclusion.
Write one sentence to explain your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5963b474-a441-468b-8c4e-b34b2e3806b1%2Fcbbb4227-ea92-4672-884b-39bc77ce5ef2%2Fak6sntu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that g(x) has a critical number at c such that a <
c< b and g'(x) > 0 for x < c and g'(x) < 0 for x > c.
Determine the location of the absolute maximum and
absolute minimum of g(x) on the interval [a,b] or say that
there is not enough information to make a conclusion.
Write one sentence to explain your answer.
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