B bruno87 May 2010 2 0 May 15, 2010 #1 just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working)

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

slovakiamaths Apr 2010 41 15 India May 15, 2010 #2 bruno87 said: just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working) Click to expand... \(\displaystyle \frac{dy}{dx}=\frac{(x^2-1)3x^2-x^3(2x)}{(x^2-1)^2}\)

bruno87 said: just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working) Click to expand... \(\displaystyle \frac{dy}{dx}=\frac{(x^2-1)3x^2-x^3(2x)}{(x^2-1)^2}\)

D dwsmith MHF Hall of Honor Mar 2010 3,093 582 Florida May 15, 2010 #3 bruno87 said: just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working) Click to expand... Slant asymptote use long division. Vertical asymptote look at the domain. Horizontal asymptote run the limits.

bruno87 said: just wondering the differentiation of y=(x^3)/(x^2-1), and what are the asymptotes of this function.(working) Click to expand... Slant asymptote use long division. Vertical asymptote look at the domain. Horizontal asymptote run the limits.