When the centered difference approach of f(x) = sinx-2³ +1 is used to estimate the first derivative of the function at x=1.4, what would be the true relative error if step size is 0.15. Round-off answers to 4 decimal places. O 0.4052% O 0.2814% O 0.3530% O 0.5515% O none of the choices

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Use divided differences, trapezoidal, Simpson's 1/3 rule. I need the answer asap. Thank you!
When the centered difference approach of f (x) = sin x-x³+1 is used to estimate the first derivative of the function
at x=1.4, what would be the true relative error if step size is 0.15.
Round-off answers to 4 decimal places.
O 0.4052%
O 0.2814%
O 0.3530%
O 0.5515%
Onone of the choices
Transcribed Image Text:When the centered difference approach of f (x) = sin x-x³+1 is used to estimate the first derivative of the function at x=1.4, what would be the true relative error if step size is 0.15. Round-off answers to 4 decimal places. O 0.4052% O 0.2814% O 0.3530% O 0.5515% Onone of the choices
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