View of /trunk/NationalProblemLibrary/ASU-topics/setDerivativeBasicFunctions/3-4-11.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(3, 15, 2);
   40 
   41 TEXT(EV2(<<EOT));
   42 Find \(\displaystyle{\frac{d}{dx}\frac{1}{x^{$a}}}\).
   43 $PAR
   44 \(\displaystyle{\frac{d}{dx}\frac{1}{x^{$a}}}\) = \{ans_rule(30) \}
   45 $BR
   46 EOT
   47 
   48 $ans = "(-$a)*(x**(-$a-1))";
   49 ANS(fun_cmp($ans));
   50 
   51 ENDDOCUMENT();