SOLUTION: Please Help. Let {{{f(x)=2x^2-2x}}} Simplify {{{(f(x+h)-f(x))/h}}} Answer: 4x+2h-2 But how? I have tried: {{{(fx+fh)-f(x))/(h)}}} {{{((2x^2-2x)+fh-(2x^2-2x))/h}}} {{{((2

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Question 981953: Please Help. Let
Simplify
Answer: 4x+2h-2
But how? I have tried:




Found 3 solutions by josgarithmetic, Edwin McCravy, AnlytcPhil:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
You substituted the wrong expression. Try building each part separately before making the substitution into the formula.

, which already is given.

, the initial input for the function.

Can you take this the rest of the way, into the difference quotient and simplifications... to a final result?

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Answer by AnlytcPhil(1806)   (Show Source): You can put this solution on YOUR website!
Question 981953
You are thinking that f(x) means f times x.  
Please get rid of that idea now. f(x) does NOT mean f times x.
The (x) is just a place holder for whatever is going to be
substited for x on the right side of the equation.

Here's an example just like yours that you can go be as a model:



Simplify .

Do it in stages.  Find f(x+h), then f(x+h)-f(x), then .


First find f(x+h

 

So



and since



So




Then finally find 

we divide that by h:



So



Edwin

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