Need help on solving this

[Ryousekki]

We ask to solve this equation
(x^2-2x+1)/(x-1)

By using derivative
The direct method
And increment

I really need on this on because our teacher didnt give much example on how to really to get this so i didnt get on how to start on this problem
I know this is too much to ask but can also include the step by step solution so that I can understand it
Thank you very much

 

[Harry_the_cat]

Firstly, it is not an equation. An equation has an equal sign in it.

Please give the exact question and any attempts you have made. Where are you stuck?

 

[Ryousekki]

This is what i done earlier i dont know if im on the right track
The question that given to us is to find the derivative of this equation y=(x^2-2x+1)/(x-1)
Using three different methods which are
Derivate using quotient law
By direct method ( which i dont have any idea )
And lastly by Increment method

 

[Ryousekki]

This the other example given to us but i didnt understand any of this that's why im having a hard time

 

[Deleted member 4993]

This is what i done earlier i dont know if im on the right track
The question that given to us is to find the derivative of this equation y=(x^2-2x+1)/(x-1)
Using three different methods which are
Derivate using quotient law
By direct method ( which i dont have any idea )
And lastly by Increment method


View attachment 14180

The last three lines of your "work"-above is incorrect. Those should be:

y' = (x² - 2x + 1) / (x - 1)²

y' = (x - 1)² / (x - 1)²

y' = 1

 

[Steven G]

Which is it, does y' = -2x or does y' = -2??

Consider this eample: ( 2+ 3 - 1 + 6)/(2-1) = 10/1 =10. Now doing it your way we get ( 2+ 3 - 1 + 6)/(2-1) = 3+6 or 9 since the 2's and -1's cancel out.

At least one of these are wrong as you can't get two different answers. So is any of these correct?