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NDA2012MathematicsContinuity and DifferentiabilityActual

Which one of the following statement is correct?

Options

  1. AThe derivative of a function f(x) at a point will exist if there is one tangent to the curve y=f(x) at that po
  2. BThe derivative of a function f(x) at a point will exist if there is one tangent to the curve y=f(x) at that po
  3. CThe derivative of a function f(x) at a point will exist if there is one and only one tangent to the curve y=f(
  4. DNone of the above

Correct answer

C. The derivative of a function f(x) at a point will exist if there is one and only one tangent to the curve y=f(

Step-by-step solution

The correct answer is option C.

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