Worksheets I - c) How fast is it moving when it reaches the...

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Worksheets I (Chapter II) Derivation Techniques (9/3/2009) Due Date: Tuesday 17-3-2009 Goals: 1- sketch and analyze graphs of functions and interpret the results; 2-find the derivatives of different functions. 1- Find the derivatives of the following functions (DON’T SIMPLIFY): a) 2 2 ln sec 5 1 ) ( x x x x f + + = b) 2 5 4 ) ( 2 t t t e t g + = c) ) 4 cos 3 ( ) ( 2 2 θ b r - = - , where b is a constant. 2 - Find α so that the graph of 2 2 ) ( x x y - = has a tangent with slope 6 at 1 - = x . Worksheets I Derivatives Techniques Page 1
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3 - A particle moves along a line so that at time t its position is 2 6 ) ( t t t s - = , where s in meters and t in seconds. a) What is its initial velocity ) 0 ( v ? b) When does it changes direction?
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Unformatted text preview: c) How fast is it moving when it reaches the origin the second time? Worksheets I Derivatives Techniques Page 2 4- List the points A, B, C, D, and E in order of increasing slope of the tangent line. A) B, C, E, D, A B) A, E, D, C, B C) E, A, D, B, C D) A, B, C, D, E 5- Find the second-degree polynomial ax 2 + bx + c such that f (0) = 0, f ' (0) = 5, and f '' (0) = 1. A) 2 5 2 x x + B) 2 5 2 x x-+ C) 2 5 1 2 x x-+ D) 2 5 1 2 x x-+ + Worksheets I Derivatives Techniques Page 3 Worksheets I Derivatives Techniques Page 4...
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This note was uploaded on 10/17/2009 for the course ENG 200812187 taught by Professor Abdalrauaf during the Spring '09 term at United Arab Emirates University.

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Worksheets I - c) How fast is it moving when it reaches the...

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