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AP EAMCET202021 Sep 2020Evening ShiftMathematicsContinuity and DifferentiabilityActual

(f(x)= | _e | x | ) is differentiable at

Options

  1. A(x=0 ) only
  2. B(x=1 ) only
  3. C(x=-1 ) only
  4. D(R- 0, 1 )

Correct answer

D. (R- 0, 1 )

Step-by-step solution

Since the graph of (f(x)= | _e | x|| ) has point of discontinuity at (x=0 ) and the sharp edges at (x=-1 ), 1 where function is not differentiable. (f(x)= | _e | x|| ) Hence, option (d) is correct.

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