1: <problem>
2: <script type="loncapa/perl">
3: $a1=&random(3,6,1);
4: $e1=&random(3,6,1);
5: $a2=&random(6,8,1);
6: $e2=&random(6,8,1);
7: $da1=$a1*$e1;
8: $da2=$a2*$e2;
9: $de1=$e1-1;
10: $de2=$e2-1;
11: @derivative=($da1.'t^'.$de1,$da2.'t^'.$de2);
12: @wrongderivative=($a1.'t^'.$de1,$a2.'t^'.$de2);
13: </script>
14: <startouttext />
15: What is the derivative of
16: <m eval="on">\[\left(\begin{array}{c}$a1 t^$e1\\ $a2 t^$e2\end{array}\right)\]</m>
17: with respect to <m>$t$</m>?
18: <endouttext />
19: <formularesponse answer="@derivative" samples="t@-10:10#10">
20: <textline readonly="no" size="25" />
21: <hintgroup showoncorrect="no">
22: <formulahint answer="@wrongderivative" name="nomulti" samples="t@-10:10#10"></formulahint>
23: <hintpart on="nomulti">
24: <startouttext />You need to multiply with the original exponent.<endouttext />
25: </hintpart>
26: </hintgroup>
27: </formularesponse>
28: </problem>
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