If y= ^ -1 ( 2x 1+x^ 2 )+ ^ -1 ( 1+x^ 2 1-x^ 2 ) then the value of dy dx at x= 3 is

MHT CET 2025 Mathematics question

If then the value of at is

Answer: (C)

Put . For we have , so (because lies outside ). Also

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Question ID VK-102264