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NDA2017MathematicsContinuity and DifferentiabilityActual

The set of all points, where the function f( x )= 1- e ^ - x ^2 is differentiable, is

Options

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

Correct answer

C. (- , 0) (0, )

Step-by-step solution

aligned & f(x)= 1-e^ -x^2 & f^ (x)= 1 2 1-e^ -x^2 (-e^ -x^2 )(-2 x) aligned f ^ ( x )= xe ^ - x ^2 1- e ^ - x ^2 f ^ ( x ) is defined for all values of x , except 0 . f ( x ) is differentiable on (- , 0) (0, )

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