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KCET2018MathematicsDifferentiation

If ( f(x)=| x- x| ), then ( f^ ( 6 ) ) is equal to

Options

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

Correct answer

A. ( - 1 2 (1+ 3 ) )

Step-by-step solution

Given that, f(x)=| x- x| So, f^ (x)=- x- x At x= 6 , we have f^ ( 6 )=- ( 6 )- ( 6 )=- 1 2 - 3 2 = -1 2 (1+ 3 )

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