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MTH132-Quiz2

MTH132-Quiz2 - 2 = x(a Find the derivative of x f(b Use...

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Page 1 10/18/2011 Name (Print Clearly): Student Number: Feb. 13, 2008 Instructor: Dr. W. Wu Instructions: Answer the following questions in the space provided. There is more than adequate space provided to answer each question. The total time allowed for this quiz is 15 minutes. 1 [2 pts each] . Find the following derivatives (a) ) ( 2 x dx d (b) ) cos 3 ( x dx d (c) ) cos 3 ( 2 x x dx d (d) ) cos 3 ( 2 x x dx d (e) ) (sin 2009 2009 x dx d

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Page 2 10/18/2011 2 [4 pts] . If x x x f 4 ) ( + = , find an equation for the tangent line when
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Unformatted text preview: . 2 = x (a) Find the derivative of ). ( x f (b) Use point-slope equation to describe the tangent line at . 2 = x 3 [4 pts] . Suppose x x f cos ) ( = . (a) Use the definition of derivative to express ) ( f ′ (the derivative of ) ( x f when = x ). (b) Find the value of ) ( f ′ by using the differentiation rules . (c) [bonus 2pts]. Evaluate h h h 1 ) cos( lim-→ by using the result of (b). 4. [2pts]. Find ' ' y , if x y csc = ....
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MTH132-Quiz2 - 2 = x(a Find the derivative of x f(b Use...

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