View of /trunk/NationalProblemLibrary/ma122DB/set5/s3_5_38b.pg

    1 ##DESCRIPTION
    2 ##  Find a derivative of an expression
    3 ##  involving trig functions; requires use of chain rule
    4 ##ENDDESCRIPTION
    5 ##KEYWORDS('derivatives', 'chain rule')
    6 
    7 ## Shotwell cleaned
    8 ## tcao , PAID on 11-24-2003
    9 
   10 ## DBsubject('Calculus')
   11 ## DBchapter('Differentiation')
   12 ## DBsection('The Chain Rule')
   13 ## Date('6/3/2002')
   14 ## Author('')
   15 ## Institution('')
   16 ## TitleText1('Calculus: Early Transcendentals')
   17 ## EditionText1('6')
   18 ## AuthorText1('Stewart')
   19 ## Section1('3.4')
   20 ## Problem1('38')
   21 
   22 
   23 DOCUMENT();        # This should be the first executable line in the problem.
   24 
   25 loadMacros(
   26 "PGbasicmacros.pl",
   27 "PGanswermacros.pl",
   28 "PGauxiliaryFunctions.pl"
   29 );
   30 
   31 TEXT(beginproblem());
   32 $showPartialCorrectAnswers = 1;
   33 
   34 $a1 = random(2,5,1);
   35 $b1 = random(2,8,1);
   36 $c1 = random(-4,-1,1);
   37 $funct1 = "-sin(sin(e^(x)))*cos(e^(x))*e^(x)";
   38 
   39 BEGIN_TEXT
   40 If \( f(x) = \cos ( \sin ( e^x )) \), find \( f'( x ) \).
   41 
   42 $BR$BR Answer: \{ans_rule(50) \}
   43 
   44 END_TEXT
   45 
   46 ANS(fun_cmp($funct1));
   47 
   48 ENDDOCUMENT();        # This should be the last executable line in the problem.