Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01. Compare the results obtained with the exact value of f''(1.3).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let f(x) = 3x ex − cos x. Use the data in the following table and the formula for the second derivative “midpoint” to approximate the value of f''(1.3) with h = 0.1 and h = 0.01.

Compare the results obtained with the exact value of f''(1.3).

I
1.20
1.29
1.30
1.31
1.40
f(x) 11.59006 13.78176 14.04276 14.30741 16.86187
Transcribed Image Text:I 1.20 1.29 1.30 1.31 1.40 f(x) 11.59006 13.78176 14.04276 14.30741 16.86187
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