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Basic Inverse Trigonometric Functions

Find the deri...

Question

Find the derivative of $f$ given by $f (x) = {sin}^{- 1} x$ assuming it exists.

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Solution

Given that

$f (x) = {sin}^{- 1} x$

$\Rightarrow f^{'} (x) = \frac{1}{\sqrt{1 - x^{2}}}$

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