15. Suppose that g(x) is a twice differential function and g(1) = 1; g(2) = 4; g(3) = 9. Which of the following is necessarily true? First and second derivatives of g are represented as g and g" respectively A. g"(x) = 3 for some x E [1, 2] B. g"(x) = 5 for some x E [2, 3] C. g"(x) = 2 for some r E [1,3] D. g"(x) = 2 for some r E [1.5, 2.5]
15. Suppose that g(x) is a twice differential function and g(1) = 1; g(2) = 4; g(3) = 9. Which of the following is necessarily true? First and second derivatives of g are represented as g and g" respectively A. g"(x) = 3 for some x E [1, 2] B. g"(x) = 5 for some x E [2, 3] C. g"(x) = 2 for some r E [1,3] D. g"(x) = 2 for some r E [1.5, 2.5]
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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The question is attached in the image. The answer is obviously either C or D.
How can rule out one option? Please provide a proof if possible. Thank you.
![15. Suppose that g(x) is a twice differential function and g(1) = 1; g(2) = 4; g(3) = 9. Which
of the following is necessarily true? First and second derivatives of g are represented as
g and g" respectively
A. g"(x) = 3 for some x E [1, 2]
B. g"(x) = 5 for some x E [2, 3]
C. g"(x) = 2 for some x E [1, 3]
D. g"(x) = 2 for some x E [1.5, 2.5]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F39f4412a-18c0-4f64-8bcf-4dffb42656da%2F02e3a051-efa6-470b-bff7-1934cc8cf70e%2F690icqc_processed.png&w=3840&q=75)
Transcribed Image Text:15. Suppose that g(x) is a twice differential function and g(1) = 1; g(2) = 4; g(3) = 9. Which
of the following is necessarily true? First and second derivatives of g are represented as
g and g" respectively
A. g"(x) = 3 for some x E [1, 2]
B. g"(x) = 5 for some x E [2, 3]
C. g"(x) = 2 for some x E [1, 3]
D. g"(x) = 2 for some x E [1.5, 2.5]
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