MAC2233-AN2

MAC2233-AN2 - Survey of Calculus MAC2233 Practice Test #2...

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Survey of Calculus MAC2233 Practice Test #2 Find Derivative for each of the following. 1) y = 3x 5 2 ) 7 - x 3 + 3 x + x 2 = y 2 3 4 4 '1 5 yx = 32 '8 6 xx =+ + 3) x 3 = y 1 2 3 x = 4 ) 5 4 y = - x 4 5 x =− 1 2 33 ' 2 2 x == 5 5 20 '2 0 x 5) 3 5 5 x y = 5 3 5 x = 6 ) 42 2 231 y = x −− 22 23 x x 2 3 5 3 ' 53 x x y 3 3 2 '4 2 4 x x x Differentiate the following: 7) f(x) = (x 2 + 4x) -2 8 ) y = (2x + 3)(3 – x 2 ) 4( 2) '( ) 2( 4 ) (2 4) (4 ) x fx x x x x x −+ + + = + 2 2 ' (2 3)( 2 ) (3 )(2) '6 ( 1 ) x x x + + 9) 3 2x -5 y = 3x -1 1 0 ) 3 2 8 2 x+1 x y= x ⎛⎞ ⎜⎟ ⎝⎠ 43 x x 3 2 (3 1)(6 ) (2 5)(3) 3(4 2 5) ' (3 1) (3 xxx x x y + 2 '4 3 ( 4 3 ) yxx x x =+= + 11) y = 1 2 ) y = (2x + 3) 2 (3 - x) 3 2 2 (3 1)(2) (2 5)(3) ' (3 13 (3 y x x = = 3 2 ' (2 3) 3(3 ) ( 1) (3 ) 2(2 3)(2) '( 2 3 ) ( 3 ) ( 31 0 ) x x + + 13) For 14 - x 4 - x 3 - x 2 - x 4 = y 2 4 5 , find 4 4 y d dx = 48 48 x 2 0 8 6 4 '' 80 24 6 ''' 240 48 '''' 48 48 x x x =−− Given the Revenue function, R (x) =16x + 25 and Cost function of C(x) = x 2 - 5x + 20,
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find the following: 14) The Profit function: P(x) 22 16 25 ( 5 20) 21 5 x xx x x =+ += ++ 15) the Revenues, the Costs and The Profits for five units: R(5) = 105 C(5) = 20 P ( 5 ) = 85 16)
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This note was uploaded on 07/05/2010 for the course MATH 2240 taught by Professor Crespo during the Spring '09 term at SPSU.

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MAC2233-AN2 - Survey of Calculus MAC2233 Practice Test #2...

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