to estimate the first derivative of the function. Evaluate the derivative at x=1.4 or f'(1.4) using a step size of h=0.3 and h-0.15. Round-off answers to 6 decimal places. when h=0.30, f'(1.4) = -4.812947 when h=0.15, f'(1.4)= -5.251085 when h=0.30, f'(1.4)= -4.601757 when h-0.15, f'(1.4)= -5.139590 when h=0.30, f'(1.4)= -4.727838 when h=0.15, f'(1.4)= -5.206330 when h=0.30, f'(1.4)= -4.395859 when h-0.15, f'(1.4)= -5.029399 none of the choices

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Use backward difference approach of f(x) = sin x - x³ + 1
to estimate the first derivative of the function.
Evaluate the derivative at x=1.4 or f'(1.4) using a step size of
h=0.3 and h=0.15.
Round-off answers to 6 decimal places.
when h=0.30, f'(1.4) = -4.812947
when h=0.15, f'(1.4)= -5.251085
when h=0.30, f'(1.4)= -4.601757
when h=0.15, f'(1.4)= -5.139590
when h=0.30, f'(1.4)= -4.727838
when h=0.15, f'(1.4)= -5.206330
when h=0.30, f'(1.4)= -4.395859
when h-0.15, f'(1.4)= -5.029399
none of the choices
Transcribed Image Text:Use backward difference approach of f(x) = sin x - x³ + 1 to estimate the first derivative of the function. Evaluate the derivative at x=1.4 or f'(1.4) using a step size of h=0.3 and h=0.15. Round-off answers to 6 decimal places. when h=0.30, f'(1.4) = -4.812947 when h=0.15, f'(1.4)= -5.251085 when h=0.30, f'(1.4)= -4.601757 when h=0.15, f'(1.4)= -5.139590 when h=0.30, f'(1.4)= -4.727838 when h=0.15, f'(1.4)= -5.206330 when h=0.30, f'(1.4)= -4.395859 when h-0.15, f'(1.4)= -5.029399 none of the choices
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