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) =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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