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.


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

COMMENT('MathObject version.');

ENDDOCUMENT();

Solution:

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