## DESCRIPTION
## Differential calculus: difference quotients
## ENDDESCRIPTION

## KEYWORDS('differential calculus', 'difference quotients')

## DBsubject('WeBWorK')
## DBchapter('WeBWorK Tutorial')
## DBsection('Fort Lewis Tutorial 2011')
## Date('01/30/2011')
## Author('Paul Pearson')
## Institution('Fort Lewis College')
## TitleText1('')
## EditionText1('')
## AuthorText1('')
## Section1('')
## Problem1('')


###########################
#  Initialization


DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"parserDifferenceQuotient.pl",
);

TEXT(beginproblem());


###########################
#  Setup

Context("Numeric");

$limit = DifferenceQuotient("2*x+h","h");

$fp = Compute("2 x");


###########################
#  Main text

Context()->texStrings;
BEGIN_TEXT
Simplify and then evaluate the limit.
$BR
$BR
\( \displaystyle 
\frac{d}{dx} \big( x^2 \big) 
=
\lim_{h \to 0} \frac{(x+h)^2-x^2}{h} 
= 
\lim_{h \to 0} 
\big(
\)
\{ ans_rule(15) \}
\( \big) = \)
\{ ans_rule(15) \}
END_TEXT
Context()->normalStrings;


############################
#  Answer evaluation

$showPartialCorrectAnswers = 1;

ANS( $limit->cmp() );
ANS( $fp->cmp() );


############################
#  Solution

Context()->texStrings;
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();