   Chapter 9.3, Problem 24E Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

In Problems 23 and 24, use the given tables to approximate f'(a) as accurately as you can. x –7.4 –7.50 –7.51 –7 a=–7.5 F(x) 22.12 22.351 22.38 24.12

To determine

To calculate: The approximate value of the derivative f(a) if a=7.5 from the given table.

x7.47.507.517f(x)22.1222.35122.3824.12

Explanation

Given Information:

The table is given as,

x7.47.507.517f(x)22.1222.35122.3824.12

Formula used:

If a function f(x) is defined in the interval [a,b], then the derivative of the function/ slope of the tangent is given as

f(x)=limh0f(x+h)f(x)(x+h)x

Calculation:

Consider the table,

x7.47.507.517f(x)22

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