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Manipal MET2011MathematicsContinuity and Differentiability

The set of points where the function f(x)=x|x| is differentiable, is

Options

  1. A(- , )
  2. B(- , 0) (0, )
  3. C(0, )
  4. D[0, )

Correct answer

A. (- , )

Step-by-step solution

Given that, f(x)=x|x| f(x)= array cc x^2 & , x 0 -x^2 & , x 0 array . It is clear from the graph that f(x) is differentiable everywhere.

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