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NEST2020MathematicsContinuity and Differentiability

Let f: R R be a continuous function. For an R , suppose that _ h 0 f( +h)-f( -h) h =p, where p R . Then

Options

  1. Af is differentiable at if the left hand and right hand derivatives at exist
  2. Bf is differentiable at and f^ ( )=p
  3. Cf is differentiable at and f^ ( )= p 2
  4. Df may not be differentiable at

Correct answer

D. f may not be differentiable at

Step-by-step solution

No solution available.

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