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Let f(x) = cosh(x) and a = 2. Let h = 0.01 and approximate f'(a) using forward, backward and central differences. Work to 8 decimal places and compare your answers with the exact result, which is sinh(2).

Let f(x) = cosh(x) and a = 2. Let h = 0.01 and approximate f'(a) using forward, backward and central differences. Work to 8 decimal places and compare your answers with the exact result, which is sinh(2).

Advanced Engineering Mathematics
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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2. Let f(x) = cosh(x) and a = 2. Let h = 0.01 and approximate f'(a) using forward, backward and central differences. Work to 8 decimal places and compare your answers with the exact result, which is sinh(2).
Transcribed Image Text:2. Let f(x) = cosh(x) and a = 2. Let h = 0.01 and approximate f'(a) using forward, backward and central differences. Work to 8 decimal places and compare your answers with the exact result, which is sinh(2).
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