Derivative ? $sin^-1 2x$ ,with respect to x

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Answer 1 · 2018-06-17T10:07:08

$2/sqrt(1-4x^2)$

Note that

$(sin^-1(x))^'=1/sqrt(1-x^2)$

then by the chain rule we get

$f^'(x)=1/sqrt(1-(2x)^2)*(2x)^'=2/sqrt(1-4x^2)$

Derivative ? sin^-1 2xsin^-1 2x ,with respect to x