Another way to approximate derivatives is to use the centered difference quotient:
Again consider
a. Graph f near the point (4.2) and let h = 1/2 in the centered difference quotient. Draw the line whose slope is computed by the centered difference quotient and explain why the centered difference quotient approximates f′(4).
b. Use the centered difference quotient to approximate f′(4) by completing the table.
c. Explain why it is not necessary to use negative values of h in the table of part (b)
d. Compare the accuracy of the derivative estimates in part (b) with those found in Exercise 62.
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Chapter 3 Solutions
Calculus, Early Transcendentals, Single Variable Loose-Leaf Edition Plus MyLab Math with Pearson eText - 18-Week Access Card Package
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Glencoe Math Accelerated, Student Edition
University Calculus: Early Transcendentals (4th Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
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