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# GHW5 - u e-3 u and simplify your answer Section 3.3...

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Math 2413 Graded Homework # 5 GHW5 03 October 2011 Due Monday 10/10 in Lecture Work to be done in Blue book per syllabus Section 3.4: The Chain Rule 1. (6 pts) Find the derivative of the function F ( t ) = (3 t - 1) 4 (2 t + 1) - 3 with respect to t and evaluate it at t = 1. 2. (8 pts) You are given three functions: f ( x ) = x 20 , g ( x ) = e x and h ( x ) = sin(2 x ). There are a to- tal of six different ways these three functions can be composed together (e.g. f g h f ( g ( h ( x ))) = ( e sin 2 x ) 20 e 20 sin 2 x ). Write h g f and g h f explicitly and find their first derivatives. 3. (6 pts) Find df du for f ( u ) = e 3 u - e - 3 u
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Unformatted text preview: u + e-3 u and simplify your answer. Section 3.3: Derivatives of Trigonometric Functions 4. (6 pts) Find equations of the tangent line and normal line to the curve x 4 + y 4 = 17 at (1 , 2). Express your results in y = mx + c form. 5. (8 pts) Find dy dx for the following functions: (a) xe y = x-y (b) x sin y + y sin x = 1 6. (6 pts) (a) Find the derivative of y = arcsin √ 1-2 x and simplify your answer. (b) Find the derivative of y = arctan √ 1-x and evaluate it at x =-3....
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