hw9-30 - f horizontal? Challenge Problems: The function f (...

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Math 170-010 Homework 9/30 Fall 2011 Goals: Compute derivatives using the quick rule for e x . Solve Type I and Type II problems involving e x . Exercises: Assume that the following derivative has been added to the list of quick derivative rules. Function Derivative e x e x 1. From Section 4.7 of the Online Textbook: Problems 2, 3, 4, 7, 8 and 10. 2. For f ( x ) = e x : (a) Compute the tangent slope at x = 2. (b) Find where the tangent slope is 4. 3. Assume that f ( x ) = 3 xe - 2 x and answer the following questions: (a) What is the equation of the line tangent to f at x = 1? (b) Where is the tangent to
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Unformatted text preview: f horizontal? Challenge Problems: The function f ( x ) = 3 xe-2 x and a tangent line y = ax + 0 . 5 are shown in the ±gure on the next page. Here a is an unworn constant. 1. Where is the point of tangency? 2. What is a ? Both answers should be accurate to at least three decimal places. 1 Hints and Answers Exercises: 3. (a) e 2 ; (b) ln 4. 4. y =-3 e-2 ( x-1) + 3 e-2 ≈ -. 406 x + 0 . 812 5. x = 1 / 2 Challenges: 1. (0 . 445 , . 549) 2. a ≈ . 109 2...
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This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.

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hw9-30 - f horizontal? Challenge Problems: The function f (...

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