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hw9-12-1

# hw9-12-1 - Math 170-010 Homework 9/12 Fall 2011 Goal Use...

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Math 170-010 Homework 9/12 Fall 2011 Goal: Use “easy” rules to compute derivatives. Recognize when the easy rules do and don’t apply. Here is the complete list of easy rules. Assume a , b and c are constants; f and g are functions. Function Derivative c 0 x 1 x n nx n 1 af + bg af + bg Exercises: 1. Online Text, Section 3.1: Problems 1–6. 2. Online Text, Section 3.2: Problems 1–5. 3. Schaum’s, Chapter 10: Problems 27–31. (Your answers may not look like Schaum’s. Mine are given below.) 4. A falling object has height given by h ( t ) = 100 - 16 t 2 , with h in feet and t in seconds. Answer the following questions. (a) What is the object’s velocity at the instant when t = 1 . 2 sec? (b) When is the object’s velocity exactly - 20 ft/sec? Challenge Problems: NOTE: Do not turn these in with Part A homework. For each of the functions listed below answer the following questions: Do the easy rules apply to f ? (The complete list of legal rules is in the table above.) If “yes”, compute f .

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