Q102 / 160 · AP EAMCET 2020 (21 Sep Shift 2) · Mathematics

\(f(x)=\left|\log _e\right| x \|\) is differentiable at

  • A
    \(x=0\) only
  • B
    \(x=1\) only
  • C
    \(x=-1\) only
  • Correct answer
    D
    \(R-\{0, \pm 1\}\)

Solution

Since the graph of \(f(x)=\left|\log _e\right| x||\) has point of discontinuity at \(x=0\) and the sharp edges at \(x=-1\), 1 where function is not differentiable. Figure
\(f(x)=\left|\log _e\right| x||\) Hence, option (d) is correct.

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

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