Derivative of arcsin(x) – math.stackexchange.com

I was trying to find the derivative of $$\arcsin(x) = \sin^{-1}(x)$$ I thought that I could use the rule of inversion: $$({f^{-1}})'(x) = \dfrac{1}{f(x)'}$$ Therefor the derivative of $\arcsin(x)$ ...

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