PrimeOperator

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Prime Operator (Differentiation)


This PG code shows how to allow the prime operator for differentiation.

Problem Techniques Index

PG problem file Explanation
DOCUMENT();

loadMacros(
"PGstandard.pl",
"MathObjects.pl",
"parserPrime.pl",
"parserAssignment.pl",
);

TEXT(beginproblem());

Initialization: We need to include the macros file parserPrime.pl.

Context("Numeric")->variables->add(y=>"Real");
Context()->constants->add(k=>0.01);
Context()->flags->set(formatStudentAnswer=>'parsed');

parser::Assignment->Allow;

# only use partial derivatives with respect to x
parser::Prime->Enable("x");

$answer1 = Formula("y = k x'");
$answer2 = Formula("(x^2)' + (y^2)'");

parser::Prime->Disable;

Setup: We need to enable the prime operator, and ought to also specify the variable for partial differentiation.

BEGIN_TEXT
Enter the equation \( y = k x' \) or \( y = k \):
\{ ans_rule(20) \} 
$PAR
Since we defined the prime operator as the partial
derivative with respect to \( x \), 
enter the expression \( (x^2+y^2)' \) or \( 2x \):
\{ ans_rule(20) \}
END_TEXT

Main Text: The problem text section of the file is as we'd expect.

$showPartialCorrectAnswers = 1;

ANS( $answer1->cmp() );
ANS( $answer2->cmp() );

ENDDOCUMENT();

Answer Evaluation: As is the answer.

Problem Techniques Index


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