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

Question

The function $\mathrm{f}(\mathrm{x})=(\mathrm{x}-1) \sqrt{|\ell n \mathrm{x}|}$ is at $\mathrm{x}=1$, discontinuous, continuous but not differentiable, differentiable with $f^{\prime}(1)=0$, differentiable with $\mathrm{f}^{\prime}(1) \neq 0$

MARKS App · Accepted Answer

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

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