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NEST2021MathematicsContinuity and Differentiability

The function f: R R is defined as follows f(x)= array l e^ - 1 |x| , x 0 0, x=0 array .

Options

  1. AThen f is differentiable and its derivative is continuous
  2. Bf is nowhere continuous on R
  3. Cf is continuous but not differentiable
  4. Df is differentiable and its derivative is not continuous

Correct answer

A. Then f is differentiable and its derivative is continuous

Step-by-step solution

No solution available.

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