DifferenceQuotient1

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Answer is a Difference Quotient

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

• PGML location in OPL: FortLewis/Authoring/Templates/DiffCalc/DifferenceQuotient1_PGML.pg

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PG problem file	Explanation
Problem tagging data	Problem tagging:
DOCUMENT(); loadMacros( 'PGstandard.pl', 'MathObjects.pl', 'parserDifferenceQuotient.pl', 'PGML.pl', 'PGcourse.pl' ); TEXT(beginproblem());	Initialization: We need to include the macros file parserDifferenceQuotient.pl.
Context('Numeric'); $limit = DifferenceQuotient('2*x+h','h'); $fp = Compute('2 x');	Setup: The routine DifferenceQuotient("function","variable") takes the simplified function and a variable name. If the variable is omitted, dx is used by default.
BEGIN_PGML [`` \frac{d}{dx} \big( x^2 \big) = \lim_{h \to 0} \frac{(x+h)^2-x^2}{h} = \lim_{h \to 0} \big(``][_______________]{$limit}[`` \big) = ``] [_______________]{$fp} END_PGML	Main Text:
BEGIN_PGML_SOLUTION Solution explanation goes here. END_PGML_SOLUTION COMMENT('Uses PGML.'); ENDDOCUMENT();	Solution:

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