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# GHW4 - f x = xe x-2 Find f f 00 and f 000 and then guess a...

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Math 2413 Graded Homework # 4 GHW4 26 September 2011 Due Monday 10/03 in Lecture Work to be done in Blue book per syllabus Section 3.1: Derivatives of Polynomials and Exponential Functions 1. (4 pts) Find the second derivative of g ( s ) = s + 3 s + 4 s with respect to s and evaluate it at s = 1. 2. (10 pts) Find equations of the tangent line and normal line to the curve y = 15 + 4 e x + 10 x 3 - 3 x 9 at the point (0 , 19). Section 3.2: The Product and Quotient Rules 3. (5 pts) Let
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Unformatted text preview: f ( x ) = xe x-2 . Find f , f 00 and f 000 and then guess a form for f ( n ) . 4. (10 pts) Find equations of the tangent lines to the curve y = x-1 x + 1 that are parallel to the line x-2 y = 2. Section 3.3: Derivatives of Trigonometric Functions 5. (4 pts) Show that d dx (sec x ) = sec x tan x. 6. (7 pts) Find f and f 00 , and simplify your results as much as possible, if f ( x ) = sin x 1 + cos x ....
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