SOLUTION: Please help me with this calculus 1 question Find the derivative of the function. F(θ) = arcsinsquaroot(sin(3θ))

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Question 1156572: Please help me with this calculus 1 question
Find the derivative of the function.
F(θ) = arcsinsquaroot(sin(3θ))
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
F%28theta%29+=+arcsin%28sqrt%28sin%283theta%29%29%29
apply the chain rule :
df%28u+%29%2Fdx=%28df%2Fdu%29%2A%28du%2Fdx%29 where
f=+arcsin%28u%29
u=sqrt%28sin%283theta%29%29

=>%28%28d%2Fdu%29%28arcsin%28u%29%29%29%2A%28%28du%2Fdx%29%28sqrt%28sin%283theta%29%29%29%29
then
%28d%2Fdu%29+%28arcsin%28u%29%29=1%2F%28sqrt%281-u%5E2%29%29
and


so,
=>

substitute back+u=sqrt%28sin%283theta%29%29
F'
F'......simplfy
F'