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Estimating Derivatives from Data
Grade Level
Calculus I
CAL1.174 Estimating Derivatives from Data
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Table: t = 2.0, 2.2, 2.4, 2.6; Q(t) = 5.00, 5.44, 6.02, 6.76. Estimate Q'(2.4). Which option gives the best estimate and reliability statement?
A
About 2.9 units per time unit; the left slope from 2.2 to 2.4 is exact.
B
About 3.7 units per time unit; the right slope from 2.4 to 2.6 is exact.
C
About 3.3 units per time unit; the central difference from 2.2 to 2.6 uses data on both sides of the target.
D
About 1.32 units per time unit; the output change from 2.2 to 2.6 is the derivative.
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