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Question

If y=sin-1x, then dydx=


A

2x1-x

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B

-2x1-x

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C

12x1-x

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D

11-x

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Solution

The correct option is C

12x1-x


Finding the value of dydx:

Derivative of sin-1xis 11-x2.

Here, y=sin-1x

Differentiating with respect to x both sides:

dydx=11-x2×12x=12x1-x

Hence, option (C) is the correct answer.


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