The formula for forward divided difference used for finding f'(x) is O O O f'(x) ≈ ƒ'(x) ≈ f(x + h) − f (x – h) 2h f'(x) ≈ f(x)-f(x-h) h f'(x) ~ f(x+h)-f(x) h f(x+h)-2f(x) + f(x − h) h²

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.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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The formula for forward divided difference used for finding f'(x) is
O
O
O
f'(x) ≈
f'(x) ≈
ƒ'(x) ≈
f'(x) ≈
f(x)-f(x - h)
h
f(x + h) − f(x − h)
-
2h
f(x+h)-f(x)
h
f(x+h) - 2f(x) + f(x − h)
h²
Transcribed Image Text:The formula for forward divided difference used for finding f'(x) is O O O f'(x) ≈ f'(x) ≈ ƒ'(x) ≈ f'(x) ≈ f(x)-f(x - h) h f(x + h) − f(x − h) - 2h f(x+h)-f(x) h f(x+h) - 2f(x) + f(x − h) h²
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