Question: 4. Using the Inverse Function Theorem, prove that (arcsin x)' = 1/v'1 - x2 for x E (-1,1) and (arctanx), = 1/(1 + x2 )

4. Using the Inverse Function Theorem, prove that (arcsin x)' = 1/v'1 - x2 for x E (-1,1) and (arctanx), = 1/(1 + x2 ) for x E (-00, (0).

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