clicker_quiz_02dif

clicker_quiz_02dif - 1/28/2011 1 Differentiation A Slippery...

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Unformatted text preview: 1/28/2011 1 Differentiation A Slippery Slope That Jerks You Around and Accelerates Your Mind BACKGROUND BACKGROUND The definition of the derivative of a function f ( x ) is 25% 25% 25% 25% x x f x x f x f ) ( ) ( ) ( ' x x f x x f x f ) ( ) ( ) ( ' x f x x f f ) ( ) ( lim ' (A) (B) (C) (A ) (B ) (C ) (D ) x x f x lim ) ( x x f x x f x f x ) ( ) ( lim ) ( ' (C) (D) The exact derivative of f ( x ) =x 3 at x =5 is most nearly 25% 25% 25% 25% (A)25.00 (B)75.00 (C)106.25 2 5 . 7 5 . 1 6 .2 5 1 2 5 . (D)125.00 Given y = sin (2 x ), dy/dx at x =3 25% 25% 25% 25% (A)0.9600 (B)0.9945 (C)1.920 (D 1 989 .9 6 .9 9 4 5 1 .9 2 1 .9 8 9 (D)1.989 END END 1/28/2011 2 CONTINUOUS FUNCTIONS Given f (x) =x 2 , using forwarded divided difference scheme and step size of 0.2, the value of f ( 6 ) most nearly is 25% 25% 25% 25% (A)11.8 (B)12.0 (C)12.2 1 1 .8 1 2 . 1 2 .2 3 6 . (D)36.0 25% 25% 25% 25% Using forward divided difference , the true error in the calculation of a derivative of a...
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clicker_quiz_02dif - 1/28/2011 1 Differentiation A Slippery...

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