Question 67370
I would do this in parts and then put the parts together it is easier that way.<br>

F(x) = x(1-x) 
=x-x^2<br>

F(x+h) 
= x+h-(x+h)^2
=x+h-(x^2+2xh+h^2)
=x+h-x^2-2xh-h^2<br>

F(x+h)-F(x) 
= x+h-x^2-2xh-h^2-(x-x^2)
= x+h-x^2-2xh-h^2-x+x^2
=h-2xh-h^2<br>

[F(x+h)-F(x)]/h 
= h-2xh-h^2/h
=1-2x-h