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BITSAT 2011
Exam
BITSAT
Year
2011
Subject
Mathematics
Chapter
Continuity and Differentiability

BITSAT 2011 · Mathematics · Continuity and Differentiability

The function f(x)=(x-1) | n x| is at x=1)

The function f(x)=(x−1)∣ℓnx∣\mathrm{f}(\mathrm{x})=(\mathrm{x}-1) \sqrt{|\ell n \mathrm{x}|} is at x=1)\mathrm{x}=1)

Options

  1. Adiscontinuous
  2. Bcontinuous but not differentiable
  3. Cdifferentiable with (f^{\prime}(1)=0)
  4. Ddifferentiable with (\mathrmf^{\prime}(1) \neq 0)

Correct answer

C. differentiable with (f^{\prime}(1)=0)

Step-by-step solution

Continuous as well as differentiable, so (f^{\prime}(1)=0)
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