document.write( "Question 67370This question is from textbook Advanced mathematics
\n" ); document.write( ": If F(x)= x(1-x), find [F(x+h) -F(x)/h] \n" ); document.write( "
Algebra.Com's Answer #47916 by algebrapro18(249)\"\" \"About 
You can put this solution on YOUR website!
I would do this in parts and then put the parts together it is easier that way.
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\n" ); document.write( "\n" ); document.write( "F(x) = x(1-x)
\n" ); document.write( "=x-x^2
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\n" ); document.write( "\n" ); document.write( "F(x+h)
\n" ); document.write( "= x+h-(x+h)^2
\n" ); document.write( "=x+h-(x^2+2xh+h^2)
\n" ); document.write( "=x+h-x^2-2xh-h^2
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\n" ); document.write( "\n" ); document.write( "F(x+h)-F(x)
\n" ); document.write( "= x+h-x^2-2xh-h^2-(x-x^2)
\n" ); document.write( "= x+h-x^2-2xh-h^2-x+x^2
\n" ); document.write( "=h-2xh-h^2
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\n" ); document.write( "\n" ); document.write( "[F(x+h)-F(x)]/h
\n" ); document.write( "= h-2xh-h^2/h
\n" ); document.write( "=1-2x-h \n" ); document.write( "
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