Which of the following are true regarding the first derivative of the function f(x) = cos √x at x = 2? The forward approximation of the first derivative with h = 0.1 is -0.3458 The central difference approximation of the first derivative with h = 0.1 is -0.3492 The backward first derivative with h = 0.1 is -0.3526 The analytical first derivative is f'(x) = 1 √ sin √x
Which of the following are true regarding the first derivative of the function f(x) = cos √x at x = 2? The forward approximation of the first derivative with h = 0.1 is -0.3458 The central difference approximation of the first derivative with h = 0.1 is -0.3492 The backward first derivative with h = 0.1 is -0.3526 The analytical first derivative is f'(x) = 1 √ sin √x
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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Transcribed Image Text:Which of the following are true regarding the first derivative of the function f(x) = cos √√xatx=2?
The forward approximation of the first derivative with h = 0.1 is -0.3458
The central difference approximation of the first derivative with h = 0.1 is -0.3492
The backward first derivative with h = 0.1 is -0.3526
The analytical first derivative is f'(x) =
==
sin √x
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