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BITSAT2011MathematicsContinuity and DifferentiabilityActual

The function ( f ( x )=( x -1) | n x | ) is at ( x =1 )

Options

  1. Adiscontinuous
  2. Bcontinuous but not differentiable
  3. Cdifferentiable with (f^ (1)=0 )
  4. Ddifferentiable with ( f ^ (1) 0 )

Correct answer

C. differentiable with (f^ (1)=0 )

Step-by-step solution

Continuous as well as differentiable, so ( f^ (1)=0 )

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