document.write( "Question 1086904: Evaluate [f(x+h)-f(x)]/h and simplify if f(x)=2x^2 + x + 1 \n" ); document.write( "

Algebra.Com's Answer #701172 by rothauserc(4718) $\"\"$ $\"About$

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we are asked for the first derivative of f(x) = 2x^2 +x +1
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\n" ); document.write( "Note that f'(x) = 4x +1
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\n" ); document.write( "f(x+h) = 2(x+h)^2 + (x+h) + 1
\n" ); document.write( "f(x+h) = 2(x^2 +2xh +h^2) +(x+h) +1
\n" ); document.write( "f(x+h) = 2x^2 +4xh +2h^2 +(x+h) +1
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\n" ); document.write( "(2x^2 +4xh +2h^2 +x +h +1 - 2x^2 -x -1) / h
\n" ); document.write( "(4xh +2h^2 +h) / h
\n" ); document.write( "4x +2h +1
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\n" ); document.write( "as h approaches 0, we have
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\n" ); document.write( "4x +1
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