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MHT CET202012 Oct 2020Morning ShiftMathematicsApplication of DerivativesActual

If f(x)=|x-2|, x [0,4] then the Rolle's theorem cannot be applied to the function because

Options

  1. AThe function is not differentiable at every point in the (0,4) .
  2. Bf(4) f(0)
  3. CFunction is not well-defined in the domain.
  4. DThe function is not continuous at every point in the [0,4] .

Correct answer

A. The function is not differentiable at every point in the (0,4) .

Step-by-step solution

Here f(0)=|0-2|=-2 and f(4)=|4-2|=2 Thus f (4) f (0) Hence Rolle's Theorem cannot be applied.

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