SOLUTION: If F(x)= x(1-x), find [F(x+h) -F(x)/h]
Algebra.Com
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) (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
RELATED QUESTIONS
if f(x)=1/2x find f(x+h)-f(x)/h, h cannot equal... (answered by Alan3354)
If f(x)= 1/x, find... (answered by Boreal)
find:
(f+h) (x)
(answered by ikleyn)
f(x)=5x-1
f(x-h)-f(x)
___________
h
(answered by Fombitz)
find f(x+h)/h-f(x)/h when... (answered by Fombitz)
Suppose f(x)= 2x-1, find f(x) +... (answered by tommyt3rd)
Find (f(x+h)-f(x))/(h) for... (answered by longjonsilver)
If f(x) = x(x+2), find (f(x+h)-f(x-h))/2h (answered by MathLover1)
If f(x)=1/x find... (answered by solver91311)