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View of /trunk/NationalProblemLibrary/ASU-topics/setProductQuotientRule/3-5-35.pg

Sat Jun 3 14:35:45 2006 UTC (6 years, 11 months ago) by gage
File size: 982 byte(s)
Cleaned code with convert-functions.pl script

1 ## DESCRIPTION
2 ## Calculus
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS('Differentiation' 'Product Rule' 'Quotient Rule')
6 ## Tagged by tda2d
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Differentiation')
10 ## DBsection('The Product and Quotient Rules')
11 ## Date('')
12 ## Author('')
13 ## Institution('ASU')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20
21 DOCUMENT();
22
24 "PG.pl",
25 "PGbasicmacros.pl",
26 "PGchoicemacros.pl",
28 "PGauxiliaryFunctions.pl"
29 );
30
31 TEXT(beginproblem());
32 $showpartialcorrectanswers = 1; 33 34$a = random(2, 13, 1);
35 $b = random(2,7,1); 36$c = random(2,7,1);
37 $x0 = random(1,12,1); 38$y0 = ($x0 -$a)/($b*$x0 + $c); 39$m = (($b*$x0 + $c) -$b*($x0 -$a))/($b*$x0 + $c)**2; 40 41 TEXT(EV2(<<EOT)); 42 Let 43 $f(x) = \frac{x - a}{b x + c}.$ 44 Find an equation for the tangent line to the graph of $$f$$ 45 at $$x = x0$$. 46$BR
47 Tangent line: $$y$$ = \{ans_rule(40) \}
48 $BR 49$BR
50 EOT
51
52 ANS(fun_cmp("$m*(x-$x0) + \$y0", vars=>"x"));
53
54 ENDDOCUMENT();