The derivative, f'(x) of a function f(x) can be approximated by the equation f(x+h)-f(x) if f(x) = f'(x) ~ h 2e1.5x and h = 0.5. What is the true error, if x = 1?
The derivative, f'(x) of a function f(x) can be approximated by the equation f(x+h)-f(x) if f(x) = f'(x) ~ h 2e1.5x and h = 0.5. What is the true error, if x = 1?
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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Question
![The derivative, f'(x) of a function f(x)
can be approximated by the equation
- if f(x) =
f(x+h)-f(x)
h
ƒ' (x) ≈
2e1.5x and h = 0.5.
What is the true error, if x = 1?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65d9a416-f4a2-4361-aef8-718ffeaca581%2Ffc8772af-b602-4696-a4e3-dfeec16682a5%2Fyjgjms_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The derivative, f'(x) of a function f(x)
can be approximated by the equation
- if f(x) =
f(x+h)-f(x)
h
ƒ' (x) ≈
2e1.5x and h = 0.5.
What is the true error, if x = 1?
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