f(x) In(r) 1+x² f(1.05)= 0.009834065665 f'(1.05) = 0.2083153204 ƒ"(1.05) = 0.4190655947 Find the value, absolute error and relative error of the f'(1.05) and f"(1.05) value h=0.1 using derivatives with central differences. FOR f'(1.05) and f"(1.05) not for f(1.05)!!
f(x) In(r) 1+x² f(1.05)= 0.009834065665 f'(1.05) = 0.2083153204 ƒ"(1.05) = 0.4190655947 Find the value, absolute error and relative error of the f'(1.05) and f"(1.05) value h=0.1 using derivatives with central differences. FOR f'(1.05) and f"(1.05) not for f(1.05)!!
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:f(x) =
In(x)
1+x²
f(1.05)= 0.009834065665
f'(1.05) = 0.2083153204
f" (1.05) = 0.4190655947
Find the value, absolute error and relative error of the f'(1.05) and f"(1.05)
value h-0.1 using derivatives with central differences.
FOR f'(1.05) and f"(1.05)
not for f(1.05)!!
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I want for f'(1.05) and f''(1.05) for value h=0.1 with CENTRAL DIFFERENCES METHOD. But you solved for f(1.05) and forward differences. Please solve it for f'(1.05) and f''(1.05) for value h=0.1 with CENTRAL DIFFERENCES METHOD.
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I want for f'(1.05) and f''(1.05) for value h=0.1. But you solved for f(1.05).
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