Estimate the derivative from the table of average rates of change. HINT [See discussion at the beginning of the section.] h 1 0.1 0.01 0.001 0.0001 Avg. Rate of Change of f over [7, 7 + h] 8 4.3 4.03 4.003 4.0003 h −1 −0.1 −0.01 −0.001 −0.0001 Avg. Rate of Change of f over [7 + h, 7] 2 3.7 3.97 3.997 3.9997 Estimate f '(7). f '(7) =
Estimate the derivative from the table of average rates of change. HINT [See discussion at the beginning of the section.] h 1 0.1 0.01 0.001 0.0001 Avg. Rate of Change of f over [7, 7 + h] 8 4.3 4.03 4.003 4.0003 h −1 −0.1 −0.01 −0.001 −0.0001 Avg. Rate of Change of f over [7 + h, 7] 2 3.7 3.97 3.997 3.9997 Estimate f '(7). f '(7) =
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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Estimate the derivative from the table of average rates of change. HINT [See discussion at the beginning of the section.]
h | 1 | 0.1 | 0.01 | 0.001 | 0.0001 |
---|---|---|---|---|---|
Avg. Rate of Change of f over [7, 7 + h] |
8 | 4.3 | 4.03 | 4.003 | 4.0003 |
h | −1 | −0.1 | −0.01 | −0.001 | −0.0001 |
Avg. Rate of Change of f over [7 + h, 7] |
2 | 3.7 | 3.97 | 3.997 | 3.9997 |
Estimate f '(7).
f '(7) =
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