document.write( "Question 297198: The expression f(x+h)-f(x) over h, is called the difference quotient. Determine the difference quotient of f(x)=2x^2-4x.
\n" ); document.write( "Anybody know the formula for this or what the first step is at least? Thanks! \n" ); document.write( "

Algebra.Com's Answer #214028 by Alan3354(69443) $\"\"$ $\"About$

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The expression f(x+h)-f(x) over h, is called the difference quotient. Determine the difference quotient of f(x)=2x^2-4x.
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\n" ); document.write( "Find f(x+h) by subbing x+h for x:
\n" ); document.write( "f(x+h) = 2(x+h)^2 - 4(x+h)
\n" ); document.write( "= 2(x^2 + 2xh + h^2) - 4x - 4h
\n" ); document.write( "f(x+h)= 2x^2 + 4xh + 2h^2 -4x - 4h
\n" ); document.write( " f(x) = 2x^2 - 4x
\n" ); document.write( "------------------ Subtract
\n" ); document.write( "dq*h = 2h^2 + 4xh - 4h
\n" ); document.write( "Divide by h:
\n" ); document.write( "= 4x - 4 + 2h
\n" ); document.write( "---------------- \n" ); document.write( "

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