In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions. y 10 :B 8. y=f(x) 4 1 2 3 4 6. 7 (a) Is f'(x) greater at point A or at point B? Explain. O f'(x) is greater at point A. The slope of the tangent line is positive at A. O f'(x) is greater at point A. The slope of the tangent line is negative at A. O f'(x) is greater at point B. The slope of the tangent line is positive at B. O f'(x) is greater at point B. The slope of the tangent line is negative at B. (b) Estimate f'(x) at point B. 3 О -3 O O O O O

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.CR: Chapter 4 Review
Problem 4CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions.
y
10
:B
8
y=f(x)
:
4
6.
7
(a) Is f'(x) greater at point A or at point B? Explain.
f'(x) is greater at point A. The slope of the tangent line is positive at A.
f'(x) is greater at point A. The slope of the tangent line is negative at A.
f'(x) is greater at point B. The slope of the tangent line is positive at B.
f'(x) is greater at point B. The slope of the tangent line is negative at B.
(b) Estimate f'(x) at point B.
1/3
Transcribed Image Text:In the figure, at each point A and B draw an approximate tangent line and then use it to answer the following questions. y 10 :B 8 y=f(x) : 4 6. 7 (a) Is f'(x) greater at point A or at point B? Explain. f'(x) is greater at point A. The slope of the tangent line is positive at A. f'(x) is greater at point A. The slope of the tangent line is negative at A. f'(x) is greater at point B. The slope of the tangent line is positive at B. f'(x) is greater at point B. The slope of the tangent line is negative at B. (b) Estimate f'(x) at point B. 1/3
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,