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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('8') 19 20 ## TitleText2('Calculus: Early Transcendentals') 21 ## EditionText2('6') 22 ## AuthorText2('Stewart') 23 ## Section2('3.1') 24 ## Problem2('') 25 26 DOCUMENT(); # This should be the first executable line in the problem. 27 28 loadMacros( 29 "PG.pl", 30 "PGbasicmacros.pl", 31 "PGchoicemacros.pl", 32 "PGanswermacros.pl", 33 "PGauxiliaryFunctions.pl" 34 ); 35 36 TEXT(beginproblem()); 37 $showPartialCorrectAnswers = 1; 38 39 $a1 = random(2,7,1); 40 $b1 = random(2,12,1); 41 42 $x1 = random(1,5,1); 43 44 $deriv1 = $a1*exp($x1); 45 $funct1 = "$a1*exp(x)"; 46 47 TEXT(EV2(<<EOT)); 48 If \( f(x) = $a1 e^x+$b1 \), find \( f'( x ) \). 49 $PAR 50 \( f'(x) \) = \{ans_rule(30) \} 51 $BR 52 EOT 53 54 $ans = $funct1; 55 ANS(fun_cmp($ans)); 56 57 ENDDOCUMENT(); # This should be the last executable line in the problem.
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