Could someone please help!!
Find the horizontal asymptote of arccot(x^2-x^4)
thanks so much!!
Horizontal Asymptotes occur when $\displaystyle f'(x)=0\text{ or }f'(0)$ is undefined.
$\displaystyle f'(x)=-\frac{2x-4x^3}{1+(x^2-x^4)^2}$
$\displaystyle f'(x)=0$ when $\displaystyle -2x+4x^3=0$. I leave it for you to find the values of x that cause this to be true.
I gave enough info to help get you through the problem. Try to finish this off.
--Chris