Derivative problem

[spdrmncoo]

Looking for the first and second derivative of this problem:

F'(X) = (X^2 - 3X)/((x-1)^2)

I've managed to do it differently everytime, and it's just frustrating now.

Thanks for the help!!

 

[stapel]

I've managed to do it differently everytime....

Please reply showing what you've done (for at least one of your answers), and we'll be glad to check your work.

Thank you.

Eliz.

 

[tkhunny]

It's a little puzzling, since your notation already has the first derivative indicated. That certainly would make the first derivative easier to find.

The quotient rule seems to work just fine. Is it just paying attentino that is the problem, maybe? How about the algebra AFTER the application of the rule? Just give it another go and BE CAREFUL!!

Sometimes, it simplifes life to convert things to another form. In this case, Partial Fractions seems convenient.

\(\displaystyle \L\frac{x*(x-3)}{(x-1)^{2}}\,=\,1-\frac{2}{(x-1)^{2}}-\frac{1}{x-1}\)

Of course, any way you write it, the unique answer won't care.