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

[micheleab]

Let F(x) = x^2 - 2x. Then find:

. . .[F(1 + h) - F(1)] / h

Please help me solve this. Thank you!
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Edited by stapel -- Reason for edit: restoring formatting

 

[galactus]

Is that \(\displaystyle \L\\f(x)=x^{2}-2x\)?.

 

[stapel]

Is that \(\displaystyle \L\\f(x)=x^{2}-2x\)?.

In the original formatting, your supposition appeared to be on target.

Let F(x) = x^2 - 2x. Then find:

. . .[F(1 + h) - F(1)] / h

i) Plug "1" in for "x" in F(x). Simplify.

ii) Plug "1 + h" in for "x" in F(x). Simplify.

iii) Subtract (i) from (ii). Simplify.

iv) Divide the result by "h". Simplify.

If you get stuck, please reply showing all of your steps. Thank you.

Eliz.