DifferenceQuotient1

Answer is a Difference Quotient

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

• Download file: File:DifferenceQuotient1.txt (change the file extension from txt to pg when you save it)
• File location in NPL: NationalProblemLibrary/FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1.pg

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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 ${PAR}SOLUTION:${PAR} Solution explanation goes here. END_SOLUTION Context()->normalStrings; COMMENT('MathObject version.'); ENDDOCUMENT();	Solution:

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