differentiate

May 2010
2
0
just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)
 
Apr 2010
41
15
India
just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)
\(\displaystyle \frac{dy}{dx}=\frac{(x^2-1)3x^2-x^3(2x)}{(x^2-1)^2}\)
 

dwsmith

MHF Hall of Honor
Mar 2010
3,093
582
Florida
just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)
Slant asymptote use long division.

Vertical asymptote look at the domain.

Horizontal asymptote run the limits.