Values for f(x) = xe*are given in the following table. 1.8 1.9 2.0 2.1 2.2 19.8550 f(x) | 10.8894 | 12.7032 | 14.7781 | 17.1489 Find f "(2.0) with step size 0.1 using i) centered difference approximation ii) backward difference approximation iii) forward difference approximation

Values for f(x) = xe*are given in the following table. 1.8 1.9 2.0 2.1 2.2 19.8550 f(x) | 10.8894 | 12.7032 | 14.7781 | 17.1489 Find f "(2.0) with step size 0.1 using i) centered difference approximation ii) backward difference approximation iii) forward difference approximation

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.2: Polynomial Functions

Problem 96E: What is the purpose of the Intermediate Value Theorem?

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Concept explainers

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

Question

c)
Values for f(x) = xe* are given in the following table.
2.0
14.7781
2.1
2.2
19.8550
1.8
1.9
f (x)
10.8894
12.7032
17.1489
Find f "(2.0) with step size 0.1 using
i)
centered difference approximation
ii)
backward difference approximation
forward difference approximation

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