Question

derive y=xsin^-1x+square root (1-x^2)

Answer 1

Hey pie :) What's going on?
Looking for derivative of this function?\[\large\rm y=x \arcsin x+\sqrt{1-x^2}\]Do you recall your arcsin(x) derivative?

Answer 2

yeah, the sin deriv. is cos

Answer 3

No no no you silly billy :O
\(\large\rm (arcsin x)'\ne\cos x\)
We have inverse sine, not sine.