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    1 ##DESCRIPTION
    2 ##Calculus: Differentiation
    3 ##ENDDESCRIPTION
    4 
    5 ##KEYWORDS('calculus', 'differentiation')
    6 ##Tagged by YJ
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Differentiation')
   10 ## DBsection('Derivatives of Polynomial and Exponential Functions')
   11 ## Date('5/26/2005')
   12 ## Author('Jeff Holt')
   13 ## Institution('UVA')
   14 ## TitleText1('Calculus: Early Transcendentals')
   15 ## EditionText1('5')
   16 ## AuthorText1('Stewart')
   17 ## Section1('3.1')
   18 ## Problem1('12')
   19 
   20 ## TitleText2('Calculus: Early Transcendentals')
   21 ## EditionText2('6')
   22 ## AuthorText2('Stewart')
   23 ## Section2('3.1')
   24 ## Problem2('')
   25 
   26 DOCUMENT();
   27 
   28 loadMacros(
   29 "PG.pl",
   30 "PGbasicmacros.pl",
   31 "PGchoicemacros.pl",
   32 "PGanswermacros.pl",
   33 "PGauxiliaryFunctions.pl"
   34 );
   35 
   36 TEXT(beginproblem());
   37 $showpartialcorrectanswers = 1;
   38 
   39 $a = random(3,13,2);
   40 $b = random(2,9,1);
   41 $c = random(1,3,1);
   42 $d = random(-3,-1,1);
   43 
   44 TEXT(EV2(<<EOT));
   45 Suppose that \( \displaystyle{f(x) = \frac{$b}{x^{$a}}}\).
   46 Evaluate each of the following:
   47 $BR
   48 $BR
   49 \( f'($c) \) = \{ans_rule(10) \}
   50 $BR
   51 EOT
   52 
   53 $ans = (-$a)*($b)*(($c)**(-$a-1));
   54 ANS(num_cmp($ans));
   55 
   56 TEXT(EV2(<<EOT));
   57 \( f'($d) \) = \{ans_rule(10) \}
   58 $BR
   59 EOT
   60 
   61 $ans = (-$a)*($b)*(($d)**(-$a-1));
   62 ANS(num_cmp($ans));
   63 
   64 
   65 ENDDOCUMENT();