Use Microsoft Excel to estimate the derivative of the following function: f(x) = x²+x²-3x-1 Note that the analytical derivative is f'(x) = 3x²+2x-3. Generate a table of ordered values for the function, its analytical derivative, and a numerical estimate of the derivative. Use the first-order, forward-looking method to estimate the derivative at x = -1. Use Ax = 0.05. Provide at least two digits to the right of the decimal place in your answer.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Use Microsoft Excel to estimate the derivative of the following function:
f(x) = x³+x²-3x-1
Note that the analytical derivative is f'(x) = 3x²+2x-3.
Generate a table of ordered values for the function, its analytical derivative, and a numerical estimate
of the derivative.
Use the first-order, forward-looking method to estimate the derivative at x = -1. Use Ax = 0.05.
Provide at least two digits to the right of the decimal place in your answer.
Answer:
Transcribed Image Text:Use Microsoft Excel to estimate the derivative of the following function: f(x) = x³+x²-3x-1 Note that the analytical derivative is f'(x) = 3x²+2x-3. Generate a table of ordered values for the function, its analytical derivative, and a numerical estimate of the derivative. Use the first-order, forward-looking method to estimate the derivative at x = -1. Use Ax = 0.05. Provide at least two digits to the right of the decimal place in your answer. Answer:
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