Question

Trying to study for a calculus exam;

How do I chain rule the second part of the equation when trying to find the derivative?
y=arcsin(x)+x(sqrt(1-x^2))

Answer 1

\[ y=\arcsin x+x \sqrt{1-x^2}\]

Is a little bit cleaner.

Answer 2

\[x \sqrt{1-x^2}\]
is the same as
\[x(1-x^2)^{1/2}\]
Then use the chain rule

Answer 3

Oh, duh! Thank you so much! I totally brainfarted on turning square root into \[()^{1/2}\]
Thanks again!