1. ## differentiate

just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)

2. Originally Posted by bruno87
just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)
$\frac{dy}{dx}=\frac{(x^2-1)3x^2-x^3(2x)}{(x^2-1)^2}$

3. Originally Posted by bruno87
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.