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Unformatted text preview: rules. ±unction Derivative ln x 1 x 1. ±rom Section 4.7 of the Online Textbook: Problems 11, 12, 13, 14, 16, 17, 18 and 21. 2. ±or the function f ( x ) = sin 2 x + x : (a) ±ind the tangent slope at x = 0. (b) Where in the interval [0 , 2 π ] is the slope horizontal? 1 3. For the function f ( x ) = x ln x 2 : (a) Where is the slope horizontal? (b) Find the equation of the tangent line at x = 2. Challenge Problem: Online Textbook, Section 4.7: problem 20. Hints and Answers Warm Up: 1. (a) y 2 = x . (b) 2 yy ′ = 1 (c) y ′ = 1 2 y (d) y ′ = 1 2 √ x 2. (a) e y = x (b) e y · y ′ = 1 (c) y ′ = 1 e y (d) y ′ = 1 x Exercises: 2. (a) 3 (b) π 3 , 2 π 3 , 4 π 3 , 5 π 3 3. (a) x = ± e − 1 ≈ ± . 368 (b) y = (2 + ln 4) x4 ≈ 3 . 386 x4 2...
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 Fall '08
 STAFF
 Calculus, Derivative

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