Given that $x$ and $y$ satisfy the equation:
$\arctan(x)+\arctan(y)+\arctan(xy)=11/12π$
Prove that, when $x=1, dy/dx=-1-\sqrt{3}/2$.
I tried to differentiate both sides:
$1/(1+x^2)+y/(1+y^2)+(y+x\,dy/dx)/(1+(xy)^2)=0$
and I know that when $x=1, y=\sqrt{3}$ by putting $x=1$ into the given equation.
so I got $1/2+√3/4+(√3+dy/dx)/4=0$
$\implies dy/dx=-2-2√3$
Thanks for pointing out the mistake. but the answer is still wrong..