3- Calculate the first-order derivative of the function using the forward finite divided difference formula at x= 4 according to the values given below.f(x)20422528630733835

Here is the solution of the given problem. Derivative of Numerical function

Answered: 3- Calculate the first-order derivative…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Using the function f (x) = x3 + 0,4x2 + x, the following data set was created.Using this data set, answer the following question. Find the numerical derivative value of f '' (0,4) from the data set using the finite difference method. Calculate the relative error of the result based on the actual value.

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3- Calculate the first-order derivative of the function using the forward finite divided difference formula at x= 4 according to the values given below. f(x) 20 4 22 5 28 6 30 33 8 35