differentiate Arccosh(x^2+1)*dy/dx if y=arcsinh(coth(x^2)

Question

plz showfull work
i plead my brain is fried

Answer 1

d/dx arccosh(u) = 1/√(u^2-1)
so

d/dx arccosh(x^2+1) = 1/√((x^2+1)^2-1) * 2x

if y = arcsinh(x^2),
dy/dx = 1/√(x^4+1) * 2x

Not quite sure just what it is you are trying to do.