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MHT CET20225 Aug 2022Evening ShiftMathematicsDifferentiationActual

d d x ( 1- x 1+ x )=

Options

  1. A^2 x (1+ x)^ 3 / 2 (1- x)^ 1 / 2
  2. B- ^2 x (1- ^2 x )^ 1 / 2
  3. C^2 x (1- ^2 x )^ 1 / 2
  4. D- ^2 x (1+ x)^ 3 / 2 (1- x)^ 1 / 2

Correct answer

D. - ^2 x (1+ x)^ 3 / 2 (1- x)^ 1 / 2

Step-by-step solution

aligned & d d x ( 1- x 1+ x )= 1 [2] 1- x 1+ x (1+ x) (0- ^2 x )-(1- x) (0- ^2 x ) (1+ x)^2 & = 2 ^2 x 2 1- x (1+ x)^ 3 / 2 & = ^2 x (1- x)^ 1 / 2 (1+ x)^ 3 / 2 aligned

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