View of /trunk/NationalProblemLibrary/ASU-topics/setProductQuotientRule/5-2-15.pg

    1 ## DESCRIPTION
    2 ## Calculus
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('Differentiation' 'Product Rule' 'Quotient Rule')
    6 ## Tagged by tda2d
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Differentiation')
   10 ## DBsection('The Product and Quotient Rules')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('ASU')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 
   20 
   21 DOCUMENT();
   22 
   23 loadMacros(
   24 "PG.pl",
   25 "PGbasicmacros.pl",
   26 "PGchoicemacros.pl",
   27 "PGanswermacros.pl",
   28 "PGauxiliaryFunctions.pl"
   29 );
   30 
   31 TEXT(&beginproblem);
   32 $showPartialCorrectAnswers = 1;
   33 
   34 $a = random(2,20,1);
   35 
   36 TEXT(EV2(<<EOT));
   37 
   38 Suppose that \( f(x) = \frac{\ln(x)}{x^{$a}} \).  Find \(f'(2)\).
   39 
   40 $BR $BR
   41 
   42 \(f'(2)\) = \{ans_rule(30) \}
   43 $BR
   44 
   45 EOT
   46 
   47 $ans = (1-$a*log(2))/2**($a+1);
   48 &ANS(std_num_cmp($ans));
   49 
   50 ENDDOCUMENT();