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MHT CET202019 Oct 2020Morning ShiftMathematicsDifferentiationActual

The derivative of ⁻¹ x w.r.t (1+x² ) is

Options

  1. A-2 x
  2. B- 1 2 x
  3. C1 2 x
  4. D2 x

Correct answer

B. - 1 2 x

Step-by-step solution

(C) Let u= ⁻¹ x and v= (1+x² ) array l d u d x = -1 1+x² and d v d x = 2 x 1+x² d u d v = ( d u d x ) ( d v d x ) = ( -1 1+x² ) ( 2 x 1+x² ) = -1 2 x array

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