Find the derivative of the function.

y=x*cos^(-1)(x) - sqrt(1-x^2)

y'=cos^(-1)(x) + x(-1/sqrt(1-x^2)) + 2x/2(sqrt(1-x^2))

y'= cos^(-1)(x)

i think i did it right but it just seemed weird to me that it would reduce so much so i just wanted to make sure it is right haha

thank you