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MHT CET202615 April 2026Morning ShiftMathematicsDifferentiationActual

If y = ⁻¹( x) , where 2 < x < , then dy dx = ...

Options

  1. A-1
  2. B0
  3. C1
  4. D2

Correct answer

C. 1

Step-by-step solution

Given y = ⁻¹( x) Differentiating with respect to x using the chain rule: dy dx = -1 1 - ^2 x d dx ( x) dy dx = - x ^2 x = - x | x| Since 2 Therefore, | x| = - x . Substituting this into the derivative: dy dx = - x - x = 1 Answer: 1

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