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Question

If y=sin-11-x, then dydx=


A

11-x

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B

-121-x

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C

1x

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D

-12x1-x

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Solution

The correct option is D

-12x1-x


To find the value of dydx:

Given,

y=sin-11-x

We know, ddxsin-1x=11-x2,

So,

dydx=11-1-x2121-x-1[ddxx=12x]=-12x1-x

Hence, the correct option is D.


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