Question

If f(x)=2x-x^2, what is f(x+h)-f(x)/h

Answer 1

You are using f(x+h) to substitute into the equation ... f(x)= 2x-x^2
so f(x+h)=2(x+h) - (x+h)^2

Answer 2

correct

Answer 3

so which part are you stuck on?

Answer 4

I am stuck on the part when you have to subtract (2x+h)-(x^2+2xh+h^2) and then dividing it by h .. I think I am doing it wrong

Answer 5

Please list your steps so that I can help spot where you may have made a mistake

Answer 6

your first expansion looks incorrect:\[2(x+h)\ne2x+h\]

Answer 7

(2x+2h)-(x+h)^2
(2x+2h)-(x^2+2xh+h^2)/h
(2x+2)-(x^2+2x+h)
x^2+h-2

Answer 8

you should not divide by 'h' until the very end

Answer 9

first simplify \(f(x+h)-f(x)\)
then divide the resulting simplified expression by \(h\)

Answer 10

Is this correct..
(2x+2h)-(x^2+2xh+h^2)