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The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = (1(x+h) - f(x))/h of f'(2) for f(x) = 7e0.5× and h = 0.3. Find the following: 1) approximate value of f'(2) 2) true value of f'(2) 3) true error of #1

The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = (1(x+h) - f(x))/h of f'(2) for f(x) = 7e0.5× and h = 0.3. Find the following: 1) approximate value of f'(2) 2) true value of f'(2) 3) true error of #1

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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The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = (1(x+h) - f(x))/h of f'(2) for f(x) = 7e05x and h = 0.3. Find the following: 1) approximate value of f'(2) 2) true value of f'(2) 3) true error of #1 Note: Round all your answers to three dec hal places. Separate each answer by a comma. Ex. X.XXX,X.XXX,X.XXX
Transcribed Image Text:The derivative of a function f(x) at a particular value of x can be approximately calculated by f'(x) = (1(x+h) - f(x))/h of f'(2) for f(x) = 7e05x and h = 0.3. Find the following: 1) approximate value of f'(2) 2) true value of f'(2) 3) true error of #1 Note: Round all your answers to three dec hal places. Separate each answer by a comma. Ex. X.XXX,X.XXX,X.XXX
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