Difference quotient: (2 0.6931712 10-4 0.693147 10-6 0.6931 10-8 0.69 10-10 0. 10-12 44. (a) Let ƒ(x) about f'(1). (b) Find f'(1) exactly. (c) If x changes by 0.1 near x = 1, what does f'(1) tell us about how f(x) changes? Illustrate your answer x². Explain what Table 2.5 tells us %3D %3D with a sketch. Table 2.5 Difference in x² successive x2 values х 0.998 0.996004 0.001997 0.999 0.998001 0.001999 1.000 1.000000 yoilo! 0.002001 LEGO aut0.002003 1.001 1.002001 1.002 1.004004 s-million-mark/#.VsuG1hgVmV0, accessed February 2015.

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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Difference quotient: (2
0.6931712
10-4
0.693147
10-6
0.6931
10-8
0.69
10-10
0.
10-12
44. (a) Let ƒ(x)
about f'(1).
(b) Find f'(1) exactly.
(c) If x changes by 0.1 near x = 1, what does f'(1) tell
us about how f(x) changes? Illustrate your answer
x². Explain what Table 2.5 tells us
%3D
%3D
with a sketch.
Table 2.5
Difference in
x²
successive x2 values
х
0.998
0.996004
0.001997
0.999 0.998001
0.001999
1.000 1.000000
yoilo!
0.002001
LEGO
aut0.002003
1.001
1.002001
1.002
1.004004
s-million-mark/#.VsuG1hgVmV0, accessed February 2015.
Transcribed Image Text:Difference quotient: (2 0.6931712 10-4 0.693147 10-6 0.6931 10-8 0.69 10-10 0. 10-12 44. (a) Let ƒ(x) about f'(1). (b) Find f'(1) exactly. (c) If x changes by 0.1 near x = 1, what does f'(1) tell us about how f(x) changes? Illustrate your answer x². Explain what Table 2.5 tells us %3D %3D with a sketch. Table 2.5 Difference in x² successive x2 values х 0.998 0.996004 0.001997 0.999 0.998001 0.001999 1.000 1.000000 yoilo! 0.002001 LEGO aut0.002003 1.001 1.002001 1.002 1.004004 s-million-mark/#.VsuG1hgVmV0, accessed February 2015.
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