View of /trunk/rochester_problib/setDerivatives13Higher/ur_dr_13_13.pg

    1 ##DESCRIPTION
    2 ##KEYWORDS('higher derivatives', )
    3 ##ENDDESCRIPTION
    4 
    5 DOCUMENT();
    6 
    7 loadMacros(
    8 "PG.pl",
    9 "PGbasicmacros.pl",
   10 "PGchoicemacros.pl",
   11 "PGanswermacros.pl",
   12 "PGauxiliaryFunctions.pl"
   13 );
   14 
   15 TEXT(&beginproblem);
   16 $showPartialCorrectAnswers = 1;
   17 
   18 $a_numb = random(2,12,1);
   19 $a_sign = random(-1,1,2);
   20 $a      = $a_numb*$a_sign;
   21 
   22 $ans = "$a*24* (1 - x)**(-5)";
   23 
   24 BEGIN_TEXT
   25 
   26 Let
   27 \[ f(x) = \frac {$a x}{1 - x} \]
   28 
   29 \( f^{(4)}(x) = \)  \{ans_rule(30)\} $BR
   30 
   31 END_TEXT
   32 
   33 &ANS(function_cmp($ans));
   34 
   35 ENDDOCUMENT();        # This should be the last executable line in the problem.