onsider the following table of values obtained from the function 1+x2 0.44 0.46 0.48 0.50 0.52 0.54 0.56 (x 0.8378 0.82535 0.81274 0.80000 0.78715 0.277778 0.76127 (a) Find f'(0.5) and f'(0.5) using Stiling's formula and Everett's formula. (b) Calculate the values of derivatives using analytic method. (c) Compare the results of pat (a) and part (b).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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Question 3
Consider the following table of values obtained from the function
1+x2*
0.44
0.46
0.48
0.50
0.52
0.54
0.56
f(x 0.8378 0.82535
0.81274
0.80000
0.78715
0.277778
0.76127
(a) Find f'(0.5) and f'(0.5) using Stiling's formula and Everett's formula.
(b) Calculate the values of derivatives using analytic method.
(c) Compare the results of pat (a) and part (b).
Transcribed Image Text:Question 3 Consider the following table of values obtained from the function 1+x2* 0.44 0.46 0.48 0.50 0.52 0.54 0.56 f(x 0.8378 0.82535 0.81274 0.80000 0.78715 0.277778 0.76127 (a) Find f'(0.5) and f'(0.5) using Stiling's formula and Everett's formula. (b) Calculate the values of derivatives using analytic method. (c) Compare the results of pat (a) and part (b).
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