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Fri Jul 20 21:19:23 2007 UTC (5 years, 10 months ago) by jjholt
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    1 ##KEYWORDS('derivatives')
2 ##DESCRIPTION
3 ##  Find a derivative of a fraction of two
4 ##  polynomials, evaluate it at a point
5 ##ENDDESCRIPTION
6
7 ## Shotwell cleaned
8 ## tcao , PAID on 11-24-2003
9
10 ## DBsubject('Calculus')
11 ## DBchapter('Differentiation')
12 ## DBsection('Derivatives of Polynomials and Exponential Functions')
13 ## Date('6/3/2002')
14 ## Author('')
15 ## Institution('')
16 ## TitleText1('Calculus: Early Transcendentals')
17 ## EditionText1('6')
18 ## AuthorText1('Stewart')
19 ## Section1('3.1')
20 ## Problem1('17')
21
22 DOCUMENT();        # This should be the first executable line in the problem.
23
25 "PGbasicmacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 1; 32 33$a1 = random(2,7,1);
34 $b1 = random(2,8,1); 35$c1 = random(2,7,1);
36 $d1 = random(2,6,1); 37$n1 = random(3,7,1);
38 $x1 = random(1,5,1); 39 40$deriv1 = (3/2)*$a1*$x1**.5 + ($b1/2)*$x1**(-.5) - ($c1/2)*$x1**(-1.5);
41 $funct1 = "(3/2)*$a1*x**.5 + ($b1/2)*x**(-.5) - ($c1/2)*x**(-1.5)";
42
43 BEGIN_TEXT
44 Let
45 $$f(x) = \frac { a1 x^2 + b1 x + c1 } {\sqrt{x} }$$
46 Determine $$f'( x )$$. $BR 47$BR$BR Answer: \{ans_rule(48) \} 48$BR$BR 49 50 51 Find $$f'( x1 )$$. 52$BR$BR Answer: \{ans_rule(48) \} 53 54 END_TEXT 55 56 ANS(fun_cmp($funct1));
57 ANS(num_cmp(\$deriv1));
58
59 ENDDOCUMENT();        # This should be the last executable line in the problem.