Question

Can someone help with this question?

Answer 1

I'm guessing C

Answer 2

It gives me "Bad Request". dky

Answer 3

Oh, there you go, works.

Answer 4

No, I am not good at deriving

Answer 5

Think of it as sin(y) = sqrt(x) instead.

Answer 6

Use the product rule!
Remember:
\[(\sin^{-1})' = (\arcsin)' = \frac{ 1 }{ \sqrt{1-x^2} }\]
and you can use the power rule for
\[\sqrt{x} = x^{1/2}\]
product rule is:
\[f(x)'g(x) + f(x)g(x)'\]