Arcsin x=2y+arccosy найти производную

[latex]arcsinx=2y+arccosy; y=-arcsinx+2y+arccosy; y'=((x)'/ \sqrt{1- x^{2} })+2-((y)'/ \sqrt{1- y^{2} })= =1/ \sqrt{1- x^{2}}+2-1/ \sqrt{1- y^{2}}= 1/ \sqrt{1- x^{2}}*\sqrt{1- y^{2}}+2/\sqrt{1- x^{2}}*\sqrt{1- y^{2}}-1/\sqrt{1- x^{2}}*\sqrt{1- y^{2}} =2/\sqrt{1- x^{2}}*\sqrt{1- y^{2}}[/latex]