https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&feed=atom&action=history
DifferenceQuotients - Revision history
2024-03-28T19:35:20Z
Revision history for this page on the wiki
MediaWiki 1.34.0
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6765&oldid=prev
Paultpearson: redirect to more up to date example
2015-06-22T18:12:51Z
<p>redirect to more up to date example</p>
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<td colspan="2" style="background-color: #fff; color: #222; text-align: center;">Revision as of 18:12, 22 June 2015</td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><code>((x+h)^2-x^2)/h</code>, their answer will not be marked correct and they will receive the message</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><i>It looks like you didn't finish simplifying your answer</i>.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></td></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></tr></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><!-- Question text section --></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><tr valign="top"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><td style="background-color:#ffdddd;border:black 1px dashed;"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><pre></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Context()->texStrings;</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>BEGIN_TEXT</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Simplify and then evaluate the limit.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$BR</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$BR</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\( \displaystyle </div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\frac{d}{dx} \big( x^2 \big) </div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>=</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\lim_{h \to 0} \frac{(x+h)^2-x^2}{h} </div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>= </div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\lim_{h \to 0} </div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\big(</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\)</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\{ ans_rule(15) \}</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\( \big) = \)</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>\{ ans_rule(15) \}</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>END_TEXT</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>Context()->normalStrings;</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></pre></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><td style="background-color:#ffcccc;padding:7px;"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><b>Main Text:</b></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>The problem text section of the file is as we'd expect.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><!-- Answer section --></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><tr valign="top"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><td style="background-color:#eeddff;border:black 1px dashed;"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><pre></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$showPartialCorrectAnswers = 1;</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>$showPartialCorrectAnswers = 1;</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ANS( $limit->cmp() );</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ANS( $fp->cmp() );</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>ENDDOCUMENT();</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></pre></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><td style="background-color:#eeccff;padding:7px;"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><b>Answer Evaluation:</b></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>As is the answer.</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></table></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><p style="text-align:center;"></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[IndexOfProblemTechniques|Problem Techniques Index]]</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div></p></div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Problem Techniques]]</div></td>
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Paultpearson
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6764&oldid=prev
Pearson: Update links to http://webwork.maa.org/viewvc/system/trunk/pg/macros/parserDifferenceQuotient.pl?view=log, etc
2010-11-06T19:24:13Z
<p>Update links to http://webwork.maa.org/viewvc/system/trunk/pg/macros/parserDifferenceQuotient.pl?view=log, etc</p>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><ul></div></td>
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Pearson
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6763&oldid=prev
Aubreyja: 3 revisions: import all default namespace pages from old wiki
2010-05-14T20:19:02Z
<p>3 revisions: import all default namespace pages from old wiki</p>
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Aubreyja
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6762&oldid=prev
Pearson at 03:15, 23 April 2010
2010-04-23T03:15:19Z
<p></p>
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div><ul></div></td>
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Pearson
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6761&oldid=prev
Pearson at 03:14, 23 April 2010
2010-04-23T03:14:51Z
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<td style="background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Problem Techniques]]</div></td>
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<td style="color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ul></div></td>
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Pearson
https://webwork.maa.org/mediawiki_new/index.php?title=DifferenceQuotients&diff=6760&oldid=prev
Pearson: New page: <h2>Difference Quotients as Student Answers</h2> <!-- Header for these sections -- no modification needed --> <p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> ...
2010-04-23T03:07:35Z
<p>New page: <h2>Difference Quotients as Student Answers</h2> <!-- Header for these sections -- no modification needed --> <p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"> ...</p>
<p><b>New page</b></p><div><h2>Difference Quotients as Student Answers</h2><br />
<br />
<!-- Header for these sections -- no modification needed --> <br />
<br />
<p style="background-color:#eeeeee;border:black solid 1px;padding:3px;"><br />
<em>This PG code shows how to check student answers that fully reduced difference quotients for limits that compute derivatives.</em><br />
</p><br />
<br />
<p style="text-align:center;"><br />
[[IndexOfProblemTechniques|Problem Techniques Index]]<br />
</p><br />
<br />
<table cellspacing="0" cellpadding="2" border="0"><br />
<br />
<tr valign="top"><br />
<th> PG problem file </th><br />
<th> Explanation </th><br />
</tr><br />
<br />
<!-- Load specialized macro files section --><br />
<br />
<tr valign="top"><br />
<td style="background-color:#ddffdd;border:black 1px dashed;"><br />
<pre><br />
DOCUMENT();<br />
<br />
loadMacros(<br />
"PGstandard.pl",<br />
"MathObjects.pl",<br />
"parserDifferenceQuotient.pl",<br />
);<br />
<br />
TEXT(beginproblem());<br />
</pre><br />
</td><br />
<td style="background-color:#ccffcc;padding:7px;"><br />
<p><br />
<b>Initialization:</b><br />
We need to include the macros file <code>parserDifferenceQuotient.pl</code>.<br />
</p><br />
</td><br />
</tr><br />
<br />
<!-- Setup section --><br />
<br />
<tr valign="top"><br />
<td style="background-color:#ffffdd;border:black 1px dashed;"><br />
<pre><br />
Context("Numeric");<br />
<br />
$limit = DifferenceQuotient("2*x+h","h");<br />
<br />
$fp = Compute("2 x");<br />
</pre><br />
</td><br />
<td style="background-color:#ffffcc;padding:7px;"><br />
<p><br />
<b>Setup:</b> <br />
The routine <code>DifferenceQuotient("function","variable")</code> takes the simplified function and a variable name. If the variable is omitted, <code>dx</code> is used by default.<br />
</p><br />
<p><br />
If the student enters an unsimplified answer such as<br />
<code>((x+h)^2-x^2)/h</code>, their answer will not be marked correct and they will receive the message<br />
<i>It looks like you didn't finish simplifying your answer</i>.<br />
</p><br />
<br />
</td><br />
</tr><br />
<br />
<!-- Question text section --><br />
<br />
<tr valign="top"><br />
<td style="background-color:#ffdddd;border:black 1px dashed;"><br />
<pre><br />
Context()->texStrings;<br />
BEGIN_TEXT<br />
Simplify and then evaluate the limit.<br />
$BR<br />
$BR<br />
\( \displaystyle <br />
\frac{d}{dx} \big( x^2 \big) <br />
=<br />
\lim_{h \to 0} \frac{(x+h)^2-x^2}{h} <br />
= <br />
\lim_{h \to 0} <br />
\big(<br />
\)<br />
\{ ans_rule(15) \}<br />
\( \big) = \)<br />
\{ ans_rule(15) \}<br />
END_TEXT<br />
Context()->normalStrings;<br />
</pre><br />
<td style="background-color:#ffcccc;padding:7px;"><br />
<p><br />
<b>Main Text:</b><br />
The problem text section of the file is as we'd expect.<br />
</p><br />
</td><br />
</tr><br />
<br />
<!-- Answer section --><br />
<br />
<tr valign="top"><br />
<td style="background-color:#eeddff;border:black 1px dashed;"><br />
<pre><br />
$showPartialCorrectAnswers = 1;<br />
<br />
$showPartialCorrectAnswers = 1;<br />
<br />
ANS( $limit->cmp() );<br />
ANS( $fp->cmp() );<br />
<br />
ENDDOCUMENT();<br />
</pre><br />
<td style="background-color:#eeccff;padding:7px;"><br />
<p><br />
<b>Answer Evaluation:</b><br />
As is the answer.<br />
</p><br />
</td><br />
</tr><br />
</table><br />
<br />
<p style="text-align:center;"><br />
[[IndexOfProblemTechniques|Problem Techniques Index]]<br />
</p><br />
<br />
[[Category:Problem Techniques]]</div>
Pearson