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MHT CET202311 May 2023Morning ShiftMathematicsDifferentiationActual

If y= _ x x , then ( d y ~d x )_ x= 4 has the value

Options

  1. A4 2
  2. B-3 2
  3. C-4 2
  4. D3 2

Correct answer

C. -4 2

Step-by-step solution

aligned & y= x x & d y ~d x = ( x) ( 1 x ) ^2 x-( x) ( 1 x )( x) ( x)^2 aligned At x= 4 aligned & ( d y ~d x )_ x= 4 = ( 1 2 ) ( 1 1 )( 2 )^2-( 1) ( 2 1 ) ( 1 2 ) [ ( 1 2 ) ]^2 & = -2 1 2 ( 2)-0 1 4 ( 2)^2 [ 1=0] & = -4 2 aligned

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