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hw8-31 - 1 Online Text Section 2.4 Problem 4 2 Online Text...

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Math 170-010 Homework 8/31 Fall 2011 Goals: Compute f ( a ) when a is a number. Compute f ( x ) when x is just x . Note: You MAY NOT use any techniques of differentiation that you might know from other classes. Every derivative must be computed using one of two methods: Table of secant slopes, followed by guessing a tangent slope. Algebraic formula for secant, followed by a limit calculation. Exercises: 1. From Schaum’s Outline , Chapter 9: Problem 23. 2. Repeat all three parts of Schaum’s , Ch. 9, Num. 23, but this time compute velocity at time t . 3. From the Online Text, Section 2.4: Problems 2, 3, and 5. 4. From Schaum’s Outline , Chapter 9: Problem 18 parts (a), (c), (d), (e), (g) and (h). Challenge Problems: NOTE: These will not be turned in with your homework this week. Work them on separate paper so you don’t have to recopy your Part A homework.
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Unformatted text preview: 1. Online Text, Section 2.4: Problem 4. 2. Online Text, Section 2.4: Problem 6. Do the following: (a) Compute f ′ (0). Use any methods you can think of. (b) Compute f ′ (0 . 5). (c) Locate all x coordinates at which f ′ ( x ) = 0. (d) Make a table of values x 0.5 ··· f ′ ( x ) Your table should have at least at all of the x-coordinates that showed up in parts (a), (b) and (c) above. (e) Think of this data as a function called f ′ ( x ). Graph it. If necessary, add more x-coordinates to your table in part (d). 1 Hints and Answers 2. (a) 2 t + 3; (b) 3 t 2-6 t ; (c) 1 2 √ t + 2 . Challenge 2(a-d): These are my approximations. Your answers may difer. x-. 8-. 5 . 5 . 8 f ′ 2-1 2 2...
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