View of /trunk/NationalProblemLibrary/ASU-topics/setDerivativeBasicFunctions/3-4-34.pg

    1 ## DESCRIPTION
    2 ## Calculate a Derivative
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('derivative', 'polynomial')
    6 ## Tagged by YL
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Differentiation')
   10 ## DBsection('Derivatives of Polynomials and Exponential Functions')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('ASU')
   14 ## TitleText1('Calculus: Early Transcendentals')
   15 ## EditionText1('5')
   16 ## AuthorText1('Stewart')
   17 ## Section1('3.1')
   18 ## Problem1('')
   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(2, 6, 0.2);
   40 $b = random(2.1,7,0.2);
   41 $c = random(2,7,1);
   42 $d = random(3,9,1);
   43 $f = random(-12,-2,1);
   44 
   45 TEXT(EV2(<<EOT));
   46 Suppose that \( f(x) = $a x^2 + $b x - $c \).
   47 Evaluate each of the following:
   48 $BR
   49 $BR
   50 \( f'($d) \) = \{ans_rule(10) \}
   51 $BR
   52 EOT
   53 
   54 $ans = 2*$a*$d + $b;
   55 ANS(num_cmp($ans));
   56 
   57 TEXT(EV2(<<EOT));
   58 \( f'($f) \) = \{ans_rule(10) \}
   59 $BR
   60 EOT
   61 
   62 $ans = 2*$a*$f + $b;
   63 ANS(num_cmp($ans));
   64 
   65 
   66 ENDDOCUMENT();