document.write( "Question 1156158: solve f´(2) if f(x) = x^3 - 6x^2 + 9x + 3\r
\n" ); document.write( "\n" ); document.write( "Determine the largest and smallest value of the function in the interval 0 ≤ x ≤ 5 with
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Algebra.Com's Answer #778842 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "\n" ); document.write( "solve \"f\"´\"%282%29\" if \"f%28x%29+=+x%5E3+-+6x%5E2+%2B+9x+%2B+3\"\r
\n" ); document.write( "\n" ); document.write( "\"f\"´\"%28x%29+=+3x%5E2+-+12x+%2B+9\"\r
\n" ); document.write( "\n" ); document.write( "\"f\"´\"%282%29+=+3%2A2%5E2+-+12%2A2+%2B+9\"\r
\n" ); document.write( "\n" ); document.write( "\"f\"´\"%282%29+=+12+-+24+%2B+9\"\r
\n" ); document.write( "\n" ); document.write( "\"f\"´\"%282%29+=+21+-+24+\"\r
\n" ); document.write( "\n" ); document.write( "\"f\"´\"%282%29+=++-+3\"\r
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\n" ); document.write( "\n" ); document.write( "Determine the largest and smallest value of the function in the interval \"0+%3C=+x+%3C=+5+\"with derivatives.\r
\n" ); document.write( "\n" ); document.write( "Check for local minimums or maximums by setting \"f\"'\"%28x%29\" equal to \"0\".\r
\n" ); document.write( "\n" ); document.write( "\"0+=+3x%5E2+-12x+%2B+9\"........simplify, both sides divide by \"3\"\r
\n" ); document.write( "\n" ); document.write( "\"0+=+x%5E2-4x+%2B+3\"....factor\r
\n" ); document.write( "\n" ); document.write( "\"0+=+%28x+-1%29+%28x+-3%29\"\r
\n" ); document.write( "\n" ); document.write( "\"x+=+1\" or \"x=3\"\r
\n" ); document.write( "\n" ); document.write( "Evaluate \"f%28x%29\" at the critical values, and at the end points.\r
\n" ); document.write( "\n" ); document.write( "\"f%280%29+=+3\"\r
\n" ); document.write( "\n" ); document.write( "\"f%281%29+=+7\"\r
\n" ); document.write( "\n" ); document.write( "\"f%283%29+=+3\"\r
\n" ); document.write( "\n" ); document.write( "\"f%285%29+=+23\"\r
\n" ); document.write( "\n" ); document.write( "\"f%28x%29\" has a minimum of \"3+\"and a maximum of \"23\".\r
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