Difference between revisions of "DifferenceQuotient1"

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This PG code shows how to require students to simplify a difference quotient.
 
This PG code shows how to require students to simplify a difference quotient.
 
</p>
 
</p>
* Download file: [[File:DifferenceQuotient1.txt]] (change the file extension from txt to pg when you save it)
 
  +
* File location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1.pg NationalProblemLibrary/FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1.pg]
* File location in NPL: <code>NationalProblemLibrary/FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1.pg</code>
 
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* PGML location in OPL: [https://github.com/openwebwork/webwork-open-problem-library/blob/master/OpenProblemLibrary/FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1_PGML.pg FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1_PGML.pg]
 
   
 
<br clear="all" />
 
<br clear="all" />
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Context()->texStrings;
 
Context()->texStrings;
 
BEGIN_SOLUTION
 
BEGIN_SOLUTION
${PAR}SOLUTION:${PAR}
 
 
Solution explanation goes here.
 
Solution explanation goes here.
 
END_SOLUTION
 
END_SOLUTION

Revision as of 17:04, 7 June 2015

Answer is a Difference Quotient

Click to enlarge

This PG code shows how to require students to simplify a difference quotient.


Templates by Subject Area

PG problem file Explanation

Problem tagging data

Problem tagging:

DOCUMENT();

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

TEXT(beginproblem());

Initialization: We need to include the macros file parserDifferenceQuotient.pl.

Context("Numeric");

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

$fp = Compute("2 x");

Setup: The routine DifferenceQuotient("function","variable") takes the simplified function and a variable name. If the variable is omitted, dx is used by default.

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;

Main Text:

$showPartialCorrectAnswers = 1;

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

Answer Evaluation:

Context()->texStrings;
BEGIN_SOLUTION
Solution explanation goes here.
END_SOLUTION
Context()->normalStrings;

COMMENT('MathObject version.');

ENDDOCUMENT();

Solution:

Templates by Subject Area