[npl] / trunk / NationalProblemLibrary / ASU-topics / setProductQuotientRule / 5-2-15.pg Repository: Repository Listing bbplugincoursesdistsnplrochestersystemwww

# View of /trunk/NationalProblemLibrary/ASU-topics/setProductQuotientRule/5-2-15.pg

Wed Feb 22 20:38:15 2006 UTC (7 years, 3 months ago) by jjholt
File size: 781 byte(s)
Tags as of Feb 22, 2006.
--JH


    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(2,20,1);
35
36 TEXT(EV2(<<EOT));
37
38 Suppose that $$f(x) = \frac{\ln(x)}{x^{a}}$$.  Find $$f'(2)$$.
39
40 $BR$BR
41
42 $$f'(2)$$ = \{ans_rule(30) \}
43 $BR 44 45 EOT 46 47$ans = (1-$a*log(2))/2**($a+1);
48 &ANS(std_num_cmp(\$ans));
49
50 ENDDOCUMENT();