Difference between revisions of "DifferenceQuotient1"
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Paultpearson (talk | contribs) (Add link to PGML version in OPL) |
(added historical tag and gave updated problem link) |
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| + | {{historical}} |
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| + | <p style="font-size: 120%;font-weight:bold">This problem has been replaced with [https://openwebwork.github.io/pg-docs/sample-problems/DiffCalc/DifferenceQuotient.html a newer version of this problem]</p> |
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<h2>Answer is a Difference Quotient</h2> |
<h2>Answer is a Difference Quotient</h2> |
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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. |
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</p> |
</p> |
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| − | * 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 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] --> |
* 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] |
* 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] |
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<tr valign="top"> |
<tr valign="top"> |
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| − | <th> PG problem file </th> |
+ | <th style="width: 50%"> PG problem file </th> |
<th> Explanation </th> |
<th> Explanation </th> |
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</tr> |
</tr> |
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loadMacros( |
loadMacros( |
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| − | + | 'PGstandard.pl', |
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| − | + | 'MathObjects.pl', |
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| − | + | 'parserDifferenceQuotient.pl', |
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| + | 'PGML.pl', |
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| + | 'PGcourse.pl' |
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); |
); |
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| − | |||
TEXT(beginproblem()); |
TEXT(beginproblem()); |
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</pre> |
</pre> |
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<td style="background-color:#ffffdd;border:black 1px dashed;"> |
<td style="background-color:#ffffdd;border:black 1px dashed;"> |
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<pre> |
<pre> |
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| − | Context( |
+ | Context('Numeric'); |
| − | $limit = DifferenceQuotient( |
+ | $limit = DifferenceQuotient('2*x+h','h'); |
| − | $fp = Compute( |
+ | $fp = Compute('2 x'); |
</pre> |
</pre> |
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</td> |
</td> |
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<td style="background-color:#ffdddd;border:black 1px dashed;"> |
<td style="background-color:#ffdddd;border:black 1px dashed;"> |
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<pre> |
<pre> |
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| − | Context()->texStrings; |
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| + | BEGIN_PGML |
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| − | BEGIN_TEXT |
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| + | [`` \frac{d}{dx} \big( x^2 \big) = \lim_{h \to 0} \frac{(x+h)^2-x^2}{h} |
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| − | Simplify and then evaluate the limit. |
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| + | = \lim_{h \to 0} \big(``][_______________]{$limit}[`` \big) = ``] |
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| − | $BR |
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| + | [_______________]{$fp} |
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| − | $BR |
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| + | |||
| − | \( \displaystyle |
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| + | END_PGML |
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| − | \frac{d}{dx} \big( x^2 \big) |
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| − | = |
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| − | \lim_{h \to 0} \frac{(x+h)^2-x^2}{h} |
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| − | = |
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| − | \lim_{h \to 0} |
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| − | \big( |
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| − | \) |
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| − | \{ ans_rule(15) \} |
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| − | \( \big) = \) |
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| − | \{ ans_rule(15) \} |
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| − | END_TEXT |
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| − | Context()->normalStrings; |
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</pre> |
</pre> |
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<td style="background-color:#ffcccc;padding:7px;"> |
<td style="background-color:#ffcccc;padding:7px;"> |
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<p> |
<p> |
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<b>Main Text:</b> |
<b>Main Text:</b> |
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| − | </p> |
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| − | </td> |
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| − | </tr> |
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| − | |||
| − | <!-- Answer evaluation section --> |
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| − | |||
| − | <tr valign="top"> |
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| − | <td style="background-color:#eeddff;border:black 1px dashed;"> |
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| − | <pre> |
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| − | $showPartialCorrectAnswers = 1; |
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| − | |||
| − | ANS( $limit->cmp() ); |
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| − | ANS( $fp->cmp() ); |
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| − | </pre> |
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| − | <td style="background-color:#eeccff;padding:7px;"> |
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| − | <p> |
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| − | <b>Answer Evaluation:</b> |
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</p> |
</p> |
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</td> |
</td> |
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<td style="background-color:#ddddff;border:black 1px dashed;"> |
<td style="background-color:#ddddff;border:black 1px dashed;"> |
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<pre> |
<pre> |
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| − | Context()->texStrings; |
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| + | BEGIN_PGML_SOLUTION |
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| − | BEGIN_SOLUTION |
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Solution explanation goes here. |
Solution explanation goes here. |
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| − | END_SOLUTION |
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| + | END_PGML_SOLUTION |
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| − | Context()->normalStrings; |
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| − | COMMENT(' |
+ | COMMENT('Uses PGML.'); |
ENDDOCUMENT(); |
ENDDOCUMENT(); |
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Latest revision as of 09:19, 28 June 2023
This problem has been replaced with a newer version of this problem
Answer is a Difference Quotient
This PG code shows how to require students to simplify a difference quotient.
- PGML location in OPL: FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1_PGML.pg
| PG problem file | Explanation |
|---|---|
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Problem tagging: |
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DOCUMENT(); loadMacros( 'PGstandard.pl', 'MathObjects.pl', 'parserDifferenceQuotient.pl', 'PGML.pl', 'PGcourse.pl' ); TEXT(beginproblem()); |
Initialization:
We need to include the macros file |
Context('Numeric');
$limit = DifferenceQuotient('2*x+h','h');
$fp = Compute('2 x');
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Setup:
The routine |
BEGIN_PGML
[`` \frac{d}{dx} \big( x^2 \big) = \lim_{h \to 0} \frac{(x+h)^2-x^2}{h}
= \lim_{h \to 0} \big(``][_______________]{$limit}[`` \big) = ``]
[_______________]{$fp}
END_PGML
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Main Text: |
BEGIN_PGML_SOLUTION
Solution explanation goes here.
END_PGML_SOLUTION
COMMENT('Uses PGML.');
ENDDOCUMENT();
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Solution: |
