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# View of /trunk/rochester_problib/setDerivatives13Higher/s2_7_4.pg

Revision 2 - (download) (annotate)
Mon Jun 25 19:20:51 2001 UTC (11 years, 11 months ago) by sam
File size: 1211 byte(s)
```added problem library as webwork/ww_prob_lib with revision tag prob-lib-2
```

```    1 ##DESCRIPTION
2 ##KEYWORDS('derivatives')
3 ##  Find first and second derivatives of a polynomial, evaluate both at a point
4 ##ENDDESCRIPTION
5
6 DOCUMENT();        # This should be the first executable line in the problem.
7
8 loadMacros(
9 "PG.pl",
10 "PGbasicmacros.pl",
11 "PGchoicemacros.pl",
12 "PGanswermacros.pl",
13 "PGauxiliaryFunctions.pl"
14 );
15
16 TEXT(&beginproblem);
17 \$showPartialCorrectAnswers = 1;
18
19 \$a1 = random(2,5,1);
20 \$b1 = random(2,8,1);
21 \$c1 = random(2,4,1);
22 \$d1 = random(1,10,1);
23 \$x1 = random(1,5,1);
24 \$deriv1f = "7*x^6 - 5*\$a1*x^4 +3*\$b1*x^2 - \$c1";
25 \$deriv1 = 7*\$x1**6 - 5*\$a1*\$x1**4 +3*\$b1*\$x1**2 - \$c1;
26 \$deriv2f = "42*x^5 - 20*\$a1*x^3 +6*\$b1*x";
27 \$deriv2 = 42*\$x1**5 - 20*\$a1*\$x1**3 +6*\$b1*\$x1;
28
29 TEXT(EV2(<<EOT));
30 Let \( f(x) = x^7- \$a1 x^5 + \$b1 x^3 - \$c1 x - \$d1  \). \$BR
31 Then \( f'(x) \) is \{ans_rule(30) \} \$BR
32 \( f'( \$x1 ) \) is \{ans_rule(30) \} \$BR
33 EOT
34
35 \$ans1 = \$deriv1f;
36 \$ans2 = \$deriv1;
37 &ANS(function_cmp(\$ans1));
38 &ANS(std_num_cmp(\$ans2));
39 TEXT(EV2(<<EOT));
40 \( f''(x) \) is \{ans_rule(30) \} \$BR
41 and \( f''( \$x1 ) \) is \{ans_rule(30) \}
42 EOT
43
44 \$ans3 = \$deriv2f;
45 \$ans4 = \$deriv2;
46 &ANS(function_cmp(\$ans3));
47 &ANS(std_num_cmp(\$ans4));
48 ENDDOCUMENT();        # This should be the last executable line in the problem.
```

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