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Answer to Question #1701 in Calculus for Vaishu

Question #1701
Find the derivative of the function. Simplify if possible.

F(x) = arcsin ( square root of sin (11x))
Expert's answer
F(x) = arcsin(√ sin(lnx));
F'(x) = (√ sin(lnx))' / √(1-sin(ln(x))) = 1/2(sin(lnx))'sin(lnx)(-1/2) (1-sin(lnx))(-1/2) =
= 1/2 cos(lnx) * 1/x* ( sin(lnx)*(1-sin(lnx)) )(-1/2)

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