   Chapter 10.5, Problem 4E 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

In Exercises 1–4, estimate the derivative from the table of average rates of change. [HINT: See discussion at the beginning of the section.]Estimate s ' ( 0 ) . h 1 0.1 0.01 0.001 0.0001       Avg . Rate of Change of  s  over                [ 0 , h ] − 2.52 − 5.498 − 5.4998 − 5.499982 − 5.49999822 h − 1 − 0.1 − 0.01 − 0.001 − 0.0001       Avg . Rate of Change of  s  over                [ h , 0 ] − 0.4 − 0.598 − 0.5998 − 0.599982 − 0.59999822

To determine

The derivative s(0) from the table provided below.

 h 1 0.1 0.01 0.001 0.0001 Average Rate of Change of s over [0,h] −2.52 −1.13 −0.6014 −0.6000144 −0.6000001444 h −1 −0.1 −0.01 −0.001 −0.0001 Average Rate of Change of s over [h,0] −0.4 −0.598 −0.5998 −0.599982 −0.59999822
Explanation

Given Information:

The table provided is as follows:

 h 1 0.1 0.01 0.001 0.0001 Average Rate of Change of s over [0,h] −2.52 −1.13 −0.6014 −0.6000144 −0.6000001444 h −1 −0.1 −0.01 −0.001 −0.0001 Average Rate of Change of s over [h,0] −0.4 −0

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