View of /trunk/NationalProblemLibrary/Rochester/setDerivatives14Hyperbolic/csuf_dr_14_10.pg

    1 ## DESCRIPTION
    2 ##   Derivative of a Hyperbolic Trigonometry Function
    3 ## ENDDESCRIPTION
    4 
    5 ## KEYWORDS('Derivative', 'Hyperbolic')
    6 ## Tagged by nhamblet
    7 
    8 ## DBsubject('Calculus')
    9 ## DBchapter('Differentiation')
   10 ## DBsection('Hyperbolic Functions')
   11 ## Date('')
   12 ## Author('')
   13 ## Institution('Rochester')
   14 ## TitleText1('')
   15 ## EditionText1('')
   16 ## AuthorText1('')
   17 ## Section1('')
   18 ## Problem1('')
   19 ## TitleText2('Calculus: Early Transcendentals')
   20 ## EditionText2('1')
   21 ## AuthorText2('Rogawski')
   22 ## Section2('3.10')
   23 ## Problem2('61')
   24 
   25 DOCUMENT();        # This should be the first executable line in the problem.
   26 
   27 loadMacros(
   28 "PG.pl",
   29 "PGbasicmacros.pl",
   30 "PGchoicemacros.pl",
   31 "PGanswermacros.pl",
   32 "PGauxiliaryFunctions.pl"
   33 );
   34 
   35 TEXT(beginproblem());
   36 $showPartialCorrectAnswers = 1;
   37 
   38 $a = random(3,5,1);
   39 $deriv = "x^(1/$a-1)/($a*(1-x^(2/$a)))";
   40 
   41 BEGIN_TEXT
   42 If
   43 \[ f(x) =  \tanh^{-1} \sqrt[$a]{x} \]
   44 then \( f'( x ) =\) \{ans_rule(50) \}.
   45 $BR
   46 END_TEXT
   47 
   48 ANS(fun_cmp($deriv));
   49 
   50 ENDDOCUMENT();        # This should be the last executable line in the problem.