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Wed Jul 18 15:40:35 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1187 byte(s)
Added Stew6e tags.


    1 ##DESCRIPTION
2 ##Calculus: Differentiation
3 ##ENDDESCRIPTION
4
5 ##KEYWORDS('calculus', 'differentiation')
6 ##Tagged by YJ
7
8 ## DBsubject('Calculus')
9 ## DBchapter('Differentiation')
10 ## DBsection('Derivatives of Polynomial and Exponential Functions')
11 ## Date('5/26/2005')
12 ## Author('Jeff Holt')
13 ## Institution('UVA')
14 ## TitleText1('Calculus: Early Transcendentals')
15 ## EditionText1('5')
16 ## AuthorText1('Stewart')
17 ## Section1('3.1')
18 ## Problem1('12')
19
20 ## TitleText2('Calculus: Early Transcendentals')
21 ## EditionText2('6')
22 ## AuthorText2('Stewart')
23 ## Section2('3.1')
24 ## Problem2('')
25
26 DOCUMENT();
27
29 "PG.pl",
30 "PGbasicmacros.pl",
31 "PGchoicemacros.pl",
33 "PGauxiliaryFunctions.pl"
34 );
35
36 TEXT(beginproblem());
37 $showpartialcorrectanswers = 1; 38 39$a = random(3,13,2);
40 $b = random(2,9,1); 41$c = random(1,3,1);
42 $d = random(-3,-1,1); 43 44 TEXT(EV2(<<EOT)); 45 Suppose that $$\displaystyle{f(x) = \frac{b}{x^{a}}}$$. 46 Evaluate each of the following: 47$BR
48 $BR 49 $$f'(c)$$ = \{ans_rule(10) \} 50$BR
51 EOT
52
53 $ans = (-$a)*($b)*(($c)**(-$a-1)); 54 ANS(num_cmp($ans));
55
56 TEXT(EV2(<<EOT));
57 $$f'(d)$$ = \{ans_rule(10) \}
58 $BR 59 EOT 60 61$ans = (-$a)*($b)*(($d)**(-$a-1));
62 ANS(num_cmp(\$ans));
63
64
65 ENDDOCUMENT();