document.write( "Question 828490: I have read my book a hundred times and I can figure out this problem...\r
\n" ); document.write( "\n" ); document.write( "Find and simplify the difference quotient of f, $\"+%28f%28x%2Bh%29-f%28x%29%29+%2F+h+\"$ h NOT =0 for the function
\n" ); document.write( " $\"+F%28x%29+=+1+%2F+2x+\"$ \n" ); document.write( "

Algebra.Com's Answer #499422 by LinnW(1048) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28f%28x%2Bh%29-f%28x%29%29+%2F+h+\"$ =
\n" ); document.write( " $\"%281%2F%282%28x%2Bh%29%29-1%2F%282%28x%29%29%29%2Fh\"$ =
\n" ); document.write( " $\"%28%281%2F%282%28x%2Bh%29%29%29%29%2A%281%2Fh%29\"$ - $\"%28%281%2F%282%28x%29%29%29%2A%281%2Fh%29%29\"$
\n" ); document.write( " $\"%28%281%2F%282h%28x%2Bh%29%29%29%29\"$ - $\"%28%281%2F%282h%28x%29%29%29%29\"$
\n" ); document.write( "revise to common denominator
\n" ); document.write( " $\"%28%281%2F%282h%28x%2Bh%29%29%29%2A%28x%2Fx%29%29\"$ - $\"%28%281%2F%282h%28x%29%29%2A%28x%2Bh%29%2F%28x%2Bh%29%29%29\"$
\n" ); document.write( " $\"%28%28x-%28x%2Bh%29%29%2F%282hx%2A%28x%2Bh%29%29%29%29\"$
\n" ); document.write( " $\"%28h%2F%282hx%2A%28x%2Bh%29%29%29%29\"$
\n" ); document.write( " $\"%281%2F%282x%2A%28x%2Bh%29%29%29%29\"$
\n" ); document.write( "as h approaches zero
\n" ); document.write( " $\"%281%2F%282x%2A%28x%29%29%29%29\"$
\n" ); document.write( " $\"%281%2F%282x%5E2%29%29%29\"$ \n" ); document.write( "

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