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NDA2017MathematicsContinuity and DifferentiabilityActual

Consider the following statements : 1. Derivative of f( x ) may not exist at some point. 2. Derivative of f( x ) may exist finitely at some point. 3. Derivative of f( x ) may be infinite (geometrically) at some point. Which of the above statements are correct?

Options

  1. A1 and 2 only
  2. B2 and 3 only
  3. C1 and 3 only
  4. D1,2 and 3

Correct answer

D. 1,2 and 3

Step-by-step solution

All statements are correct.

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