document.write( "Question 1001202: Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x + 1?\r
\n" ); document.write( "\n" ); document.write( " f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus the quantity 2 squared plus 3 times 2 plus 1, and h
\n" ); document.write( " f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus 2 squared plus 3 times 2 plus 1, and h
\n" ); document.write( " f prime of 2 equals the limit as x approaches 2 of the quotient of x squared plus 3 times x plus 1 minus 11, and the quantity x minus 2
\n" ); document.write( " All of these find the value for f ′(2). \n" ); document.write( "
Algebra.Com's Answer #618606 by KMST(5328)\"\" \"About 
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The square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
\n" ); document.write( "is \"%282%2Bh%29%5E2%2B3%2A%282%2Bh%29%2B1=f%282%2Bh%29\" .
\n" ); document.write( "The quantity 2 squared plus 3 times 2 plus 1
\n" ); document.write( "is \"2%5E2%2B3%2A2%2B1=f%282%29=11\" .\r
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\n" ); document.write( "\n" ); document.write( "CHOICE # 1:
\n" ); document.write( "The limit as h approaches 0 of
\n" ); document.write( "the quotient of
\n" ); document.write( "the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
\n" ); document.write( "minus
\n" ); document.write( "the quantity 2 squared plus 3 times 2 plus 1,
\n" ); document.write( "and h
\n" ); document.write( "is .
\n" ); document.write( "That is by definition \"%22f%27%282%29%22\" .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "CHOICE # 2 does not find the value of \"%22f%27%282%29%22\" :
\n" ); document.write( "The limit as h approaches 0 of
\n" ); document.write( "the quotient of
\n" ); document.write( "the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1
\n" ); document.write( "minus 2 squared
\n" ); document.write( "plus 3 times 2
\n" ); document.write( "plus 1,
\n" ); document.write( "and h
\n" ); document.write( "is .
\n" ); document.write( "That is not \"%22f%27%282%29%22=lim%28h-%3E0%2C%28f%282%2Bh%29-11%29%2Fh%29\" .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "CHOICE # 3:
\n" ); document.write( "The limit as x approaches 2 of
\n" ); document.write( "the quotient of
\n" ); document.write( "x squared plus 3 times x plus 1
\n" ); document.write( "minus 11,
\n" ); document.write( "and
\n" ); document.write( "the quantity x minus 2
\n" ); document.write( "is \"lim%28x-%3E2%2C%28%28x%5E2%2B3x%2B1%29-11%29%2F%28x-2%29%29\"=\"lim%28x-%3E2%2C%28f%28x%29-11%29%2F%28x-2%29%29\"=\"lim%28x-%3E2%2C%28f%28x%29-f%282%29%29%2F%28x-2%29%29\" .
\n" ); document.write( "That is by definition \"%22f%27%282%29%22\" . \n" ); document.write( "
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