JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1

The derivative of

{\tan ^{ - 1}}\left( {\frac{{\sqrt {1 + x} - \sqrt {1 - x} }}{{\sqrt {1 + x} + \sqrt {1 - x} }}} \right)

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Correct option: C

\frac{1}{{2\sqrt {1 - {x^2}} }}

Option C,

\frac{1}{{2\sqrt {1 - {x^2}} }}

, is correct because it represents the derivative of the given function after applying a trigonometric substitution and simplifying the expression.

More Questions from DIFFERENTIATION

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