If y+x + y-x =c such that dy dx =f(x)- [f(x)]^2-1 , then f(x)= _____

MHT CET 2026 Mathematics question

If such that , then

Answer: (A)

Square the given relation: . Squaring again: . Differentiating w.r.t. : . From the first squaring,

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Question ID VK-097636