I'm not sure with this particular problem, do I use implicit differentiation or just normal differentiation?

x^2 + y^2 = arcsin(xy)

Can I assume that it =1? => x^2 + y^2 = 1 (unit circle)

If so, how do I find dy/dx of 1 = arcsin(xy)?

From an attempt, does dy/dx = ± 1/x ?

Any help is much appreciated,

Dranalion