quiz_02dif_discrete(1)

# quiz_02dif_discrete(1) - Multiple-Choice Test Chapter 02.03...

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Multiple-Choice Test Chapter 02.03 Differentiation of Discrete Functions 1. The definition of the first derivative of a function ) ( x f is (A) x x f x x f x f + + = ) ( ) ( ) ( ' (B) x x f x x f x f + = ) ( ) ( ) ( ' (C) x x f x x f x f x + + = ) ( ) ( lim ) ( ' 0 (D) x x f x x f x f x + = ) ( ) ( lim ) ( ' 0 2. Using the forward divided difference approximation with a step size of 0.2, the derivative of the function at 2 = x is given as x 1.8 2.0 2.2 2.4 2.6 ( ) x f 6.0496 7.3890 9.0250 11.023 13.464 (A) 6.697 (B) 7.389 (C) 7.438 (D) 8.180 3. A student finds the numerical value of 220 . 20 ) ( = x f at 3 = x using a step size of 0.2. Which of the following methods did the student use to conduct the differentiation if ( ) x f is given in the table below? x 2.6 2.8 3.0 3.2 3.4 3.6 ( ) x f 6 . 2 e 8 . 2 e 3 e 2 . 3 e 4 . 3 e 6 . 3 e (A) Backward divided difference (B) Calculus, that is, exact (C) Central divided difference

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## This note was uploaded on 06/12/2011 for the course EML 3041 taught by Professor Kaw,a during the Spring '08 term at University of South Florida.

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quiz_02dif_discrete(1) - Multiple-Choice Test Chapter 02.03...

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