document.write( "Question 1153268: Please some help
\n" ); document.write( "Find f '(a).
\n" ); document.write( "f(t) =
\n" ); document.write( "2t + 4
\n" ); document.write( "t + 9
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Algebra.Com's Answer #775454 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "Find \"f\" '\"%28a%29\".\r
\n" ); document.write( "\n" ); document.write( "\"f%28t%29+=+%282t+%2B+4%29%2F%28t+%2B+9%29\"\r
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\n" ); document.write( "\n" ); document.write( "first find \"f\" '\"%28t%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"%28d%2Fdt%29+%282t+%2B+4%29%2F%28t+%2B+9%29\"\r
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\n" ); document.write( "\n" ); document.write( "Apply the Quotient Rule:\r
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\n" ); document.write( "\n" ); document.write( "\"%28f%2Fg%29\"' =(\"f\"'*\"g\"-\"g\"'*\"f\")/\"g%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "=\r
\n" ); document.write( "\n" ); document.write( "since \"%28d%2Fdt%29%282t%2B4%29=2\" and \"%28d%2Fdt%29%28t%2B9%29=1\", we have\r
\n" ); document.write( "\n" ); document.write( "=\"%282%28t%2B9%29-%282t%2B4%29%29%2F%28t%2B9%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"%282t%2B18-2t-4%29%2F%28t%2B9%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "=\"14%2F%28t%2B9%29%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"f\"'\"%28t%29+=+14%2F%28t+%2B+9%29%5E2\"\r
\n" ); document.write( "\n" ); document.write( "then \"f\" '\"%28a%29\":\r
\n" ); document.write( "\n" ); document.write( "\"f\"'\"%28a%29+=+14%2F%28a+%2B+9%29%5E2\"\r
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