##KEYWORDS('derivatives', 'chain rule')
##DESCRIPTION
##  Find a derivative of a polynomial; requires use of chain rule
##ENDDESCRIPTION

## Shotwell cleaned
## tcao , PAID on 11-24-2003

## DBsubject('Calculus')
## DBchapter('Differentiation')
## DBsection('The Chain Rule')
## Date('6/3/2002')
## Author('')
## Institution('')
## TitleText1('Calculus: Early Transcendentals')
## EditionText1('6')
## AuthorText1('Stewart')
## Section1('3.4')
## Problem1('27')

DOCUMENT();        # This should be the first executable line in the problem.

loadMacros(
"PGbasicmacros.pl",
"PGanswermacros.pl",
"PGauxiliaryFunctions.pl"
);

TEXT(beginproblem());
$showPartialCorrectAnswers = 1;

$a1 = random(2,5,1);
$b1 = random(2,8,1);
$c1 = random(-4,-1,1);
$funct1 = "(1/cos($a1*x)^2)*$a1";

BEGIN_TEXT
Let \(f(x) = \tan $a1 x \). Find \( f'( x ) \).

$BR$BR Answer: \{ans_rule(50) \}
END_TEXT

ANS(fun_cmp($funct1));

ENDDOCUMENT();        # This should be the last executable line in the problem.