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Question
The differential coefficient of `"tan"^-1 ((sqrt(1 + "x") - sqrt (1 - "x"))/(sqrt (1+ "x") + sqrt (1 - "x")))` is ____________.
Options
`sqrt(1 - "x"^2)`
`1/sqrt(1 - "x"^2)`
`1/(2sqrt(1 - "x"^2))`
x
MCQ
Fill in the Blanks
Solution
The differential coefficient of `"tan"^-1 ((sqrt(1 + "x") - sqrt (1 - "x"))/(sqrt (1+ "x") + sqrt (1 - "x")))` is `underline(1/(2sqrt(1 - "x"^2)))`.
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