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MHT CET202120 Sep 2021Morning ShiftMathematicsDifferentiationActual

If y= ( x 2 )+ ^1( x) , then d y d x =

Options

  1. Acosec x
  2. Bx+1
  3. Cx
  4. Dcosec x-1

Correct answer

D. cosec x-1

Step-by-step solution

aligned & y= ( x 2 )+ ⁻¹( x) & = ( x 2 )+ ⁻¹ [ ( 2 -x ) ]= ( x 2 )+ 2 -x & d y d x = 1 ( x 2 ) ^2 ( x 2 ) ( 1 2 )+0-1 & = x 2 x 2 1 ^2 x 2 1 2 -1 & = 1 2 x 2 x 2 -1= 1 x -1= cosec x-1 aligned

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