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Wed Jul 18 00:35:17 2007 UTC (5 years, 10 months ago) by jjholt
File size: 1219 byte(s)
Changed Stew4e to Stew 6e.


    1 ##  KEYWORDS('derivatives', 'chain rule')
2 ##DESCRIPTION
3 ##  using chain rule
4 ##ENDDESCRIPTION
5
6 ## Shotwell cleaned
7 ## tcao , PAID on 11-24-2003
8
9 ## DBsubject('Calculus')
10 ## DBchapter('Differentiation')
11 ## DBsection('The Chain Rule')
12 ## Date('6/3/2002')
13 ## Author('')
14 ## Institution('')
15 ## TitleText1('Calculus: Early Transcendentals')
16 ## EditionText1('6')
17 ## AuthorText1('Stewart')
18 ## Section1('3.4')
19 ## Problem1('53')
20
21 DOCUMENT();
22 # This should be the first executable line in the problem.
23
25 "PGbasicmacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 1; 32 33$a = random(3,9,1);
34 $b1 = random(2,15,1); 35$b2 = random(2,3,1);
36 $b4 = random(2,15,1); 37$b3 = random(2,15,1);
38 $a1 =$a-1;
39
40 BEGIN_TEXT
41 $BR 42 Let $$F(x)= f(x^{a})$$ and $$G(x)=(f(x))^{a}$$ and suppose that$BR$BR 43 $a^{a1}=b1, \quad f(a)=b2, \quad f'(a)=b3, \quad f'(a^{a})=b4$ 44$BR
45 Find $$F'(a)$$ and $$G'(a)$$. $BR$BR
46 $$F'(a)=$$ \{ans_rule(10) \}  $BR 47 $$G'(a)=$$ \{ans_rule(10) \} 48 49 END_TEXT 50 51$ans1 = "$a*$b1*$b4"; 52$ans2 = "$a*($b2^$a1)*$b3";
53 ANS(num_cmp($ans1)); 54 ANS(num_cmp($ans2));
55
56 ENDDOCUMENT();
57 # This should be the last executable line in the problem.
58