View of /trunk/NationalProblemLibrary/Rochester/setDerivatives14Hyperbolic/csuf_dr_14_01.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 
   20 DOCUMENT();        # This should be the first executable line in the problem.
   21 
   22 loadMacros(
   23 "PG.pl",
   24 "PGbasicmacros.pl",
   25 "PGchoicemacros.pl",
   26 "PGanswermacros.pl",
   27 "PGauxiliaryFunctions.pl"
   28 );
   29 
   30 TEXT(beginproblem());
   31 $showPartialCorrectAnswers = 1;
   32 
   33 $a = random(2,9,1);
   34 $deriv = "$a * (sech($a*x))^2";
   35 
   36 BEGIN_TEXT
   37 If
   38 \[ f(x) =  \tanh ($a x)\]
   39 then \( f'( x ) =\) \{ans_rule(50) \}.
   40 $BR
   41 END_TEXT
   42 
   43 ANS(fun_cmp($deriv));
   44 
   45 ENDDOCUMENT();        # This should be the last executable line in the problem.