Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25 using Central Difference. Find their %Error vis-à-vis their true value. X f(x) %Error 0 | 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.0
Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25 using Central Difference. Find their %Error vis-à-vis their true value. X f(x) %Error 0 | 0.25 0.50 0.75 1.00 1.25 1.50 1.75 2.0
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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![Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25 using
Central Difference. Find their %Error vis-à-vis their true value.
X
f(x)
%Error
0
1
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb8fc4ac-e51c-44a3-aabc-8774602878e3%2F420e3eb1-f3d2-4e68-8f81-115f7962cd68%2Fq8lwooa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25 using
Central Difference. Find their %Error vis-à-vis their true value.
X
f(x)
%Error
0
1
0.25
0.50
0.75
1.00
1.25
1.50
1.75
2.0
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