Find the actual error when the first derivative of f(x) = sin(2x) at x = T/8 is approximated by the following 3-point formula %3D 3f(x + h) – 2f(x) – f(x – h) f'(x) 4h with h = 0.25. O 0.2313 O 0.0343 0.0431 O 0.5544

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
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Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by
the following 3-point formula
%3D
3f(x + h) – 2f(x) – f(x – h)
f'(x)
with h =
= 0.25.
4h
0.2313
O 0.0343
O 0.0431
0.5544
Transcribed Image Text:Find the actual error when the first derivative of f (x) = sin(2x) at x = 1/8 is approximated by the following 3-point formula %3D 3f(x + h) – 2f(x) – f(x – h) f'(x) with h = = 0.25. 4h 0.2313 O 0.0343 O 0.0431 0.5544
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