   Chapter 10.5, Problem 129E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

Draw the graph of a function f with the property that the balanced difference quotient gives a more accurate approximation of f ' ( 1 ) than the ordinary difference quotient.

To determine

To graph: The function whose f(1) is more definite by the method of balanced difference quotient than the ordinary quotient method.

Explanation

Given Information:

The function whose f(1) is more definite by the method of balanced difference quotient than the ordinary quotient method.

Graph:

Difference quotient method: f(a)f(a+h)f(a)h

The balance difference quotient: f(a)f(a+h)f(ah)2h

Consider the function, f(x)=x2

Evaluate the value of f(x+h)

f(x+h)=(x+

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