SOLUTION: If F(x)= x(1-x), find [F(x+h) -F(x)/h]

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Question 67370This question is from textbook Advanced mathematics
: If F(x)= x(1-x), find [F(x+h) -F(x)/h] This question is from textbook Advanced mathematics

Answer by algebrapro18(249) About Me  (Show Source):
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.

F(x) = x(1-x)
=x-x^2

F(x+h)
= x+h-(x+h)^2
=x+h-(x^2+2xh+h^2)
=x+h-x^2-2xh-h^2

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

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