Multiple Choice Questions on If y sec 1 x 1 x minus 1 sin 1 x minus 1 x 1 then dy dx is equal to ........ for Common University Entrance Test (CUET) Preparation

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    If y = sec-1 ( x+1 / x−1 )+ sin-1 ( x−1 / x+1 ), then dy / dx is equal to -

    0

    Correct Answer

    1

    Incorrect Answer

    x−1 / x+1

    Incorrect Answer

    x+1 / x-1

    Incorrect Answer
    Explanation:

    y = sec-1 x+1 / x−1 + sin-1 x−1 / x+1

    Or y = cos-1 x−1 / x+1 + sin-1 x−1 / x+1 = π / 2 [As cos-1 x + sin-1 x = π / 2 ]

    ∴ dy / dx = 0


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