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y = sqrt((1 - sin^-1 x)/(1 + sin^-1 x)): find dy/dx at x = 0

The same question, asked 2 times: 2 May 2023 S1, 11 May 2024 S1. Every wording below, oldest first.

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  1. Question 1

    2 May 2023 S1

    142
    If y=1−sin⁡−1x1+sin⁡−1xy = \sqrt{\dfrac{1 - \sin^{-1}x}{1 + \sin^{-1}x}}, then dydx\dfrac{dy}{dx} at x=0x = 0 is

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  2. Question 2

    11 May 2024 S1

    150
    If y=1−sin⁡−1(x)1+sin⁡−1(x)y = \sqrt{\frac{1-\sin^{-1}(x)}{1+\sin^{-1}(x)}}, then dydx\frac{dy}{dx} at x=0x=0 and y=1y=1 is

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