Can you explain to me how to get the answer for part c of question 1? Thank you!

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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Can you explain to me how to get the answer for part c of question 1? Thank you!
1. Let f be a twice-differentiable function with f(1.5) = 3. The derivative of f is given by
AP Calculus
Name
Unit 5 Review
f'(x) = (7x - 19)sin(x? - 4x + 4) for 1 <x 4.
a. Find all values of x in the interval 1 SYCA at which f bas a critical point. Classify each as tne
location of a relative minimum, a relative maximum, or neither. Justify your answers.
x-2,2.7, 3.7
2,7 Min
3.7 max
b. Use the line tangent to the graph of f at x = 1.5 to approximate f(1.8).
(1.5,3)
y (1.5)=-2,103
Y-3=-2103)(x-1.5)
ソ- 2,369
c. On the interval 1.5 <x< 1.8, f'(x) <0 and f"(x) > 0. Is the approximation found in part (b) an
overestimate or an underestimate for f(1.8)? Give a reason for your answer.
Underestimate
ain why the average rate of change of f over the interval 1 <x< 4 cannot
d. Using th
equal 6."
f' doer mot esuel 6.5 between
I ond 4 so the
cannot be 65.
average
Transcribed Image Text:1. Let f be a twice-differentiable function with f(1.5) = 3. The derivative of f is given by AP Calculus Name Unit 5 Review f'(x) = (7x - 19)sin(x? - 4x + 4) for 1 <x 4. a. Find all values of x in the interval 1 SYCA at which f bas a critical point. Classify each as tne location of a relative minimum, a relative maximum, or neither. Justify your answers. x-2,2.7, 3.7 2,7 Min 3.7 max b. Use the line tangent to the graph of f at x = 1.5 to approximate f(1.8). (1.5,3) y (1.5)=-2,103 Y-3=-2103)(x-1.5) ソ- 2,369 c. On the interval 1.5 <x< 1.8, f'(x) <0 and f"(x) > 0. Is the approximation found in part (b) an overestimate or an underestimate for f(1.8)? Give a reason for your answer. Underestimate ain why the average rate of change of f over the interval 1 <x< 4 cannot d. Using th equal 6." f' doer mot esuel 6.5 between I ond 4 so the cannot be 65. average
Expert Solution
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c. On the interval 1.5x1.8, f'(x)<0 and f''(x)>0. is the approximation found in part b an overestimate or underestimate for f1.8? Give a reason for your answer.

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