AP EAMCET · Maths · Continuity and Differentiability
\(f(x)=\left|\log _e\right| x \|\) is differentiable at
- A \(x=0\) only
- B \(x=1\) only
- C \(x=-1\) only
- D \(R-\{0, \pm 1\}\)
Answer & Solution
Correct Answer
(D) \(R-\{0, \pm 1\}\)
Step-by-step Solution
Detailed explanation
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. \(f(x)=\left|\log _e\right| x||\) Hence, option (d) is correct.
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