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NDA2017MathematicsContinuity and DifferentiabilityActual

Suppose the function f( x )= x ^ n , n 0 is differentiable for all x . Then n can be any element of the interval

Options

  1. A(1, )
  2. B(0, )
  3. C( 1 2 , )
  4. DNone of the above

Correct answer

A. (1, )

Step-by-step solution

f(x)=x^n, n 0 This function is differentiable for all values of n , except 0 . Hence n (1, )

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