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

• A

  discontinuous
• B

  continuous but not differentiable
• Correct answer
  C

  differentiable with \(f^{\prime}(1)=0\)
• D

  differentiable with \(\mathrm{f}^{\prime}(1) \neq 0\)

Hence, the correct answer is option: 'C'.