MHT CET · Maths · Continuity and Differentiability
The set of points where the function \(f(x)=|x-1| e^{x}\) is differentiable, is
- A \(R\)
- B \(R-\{1\}\)
- C \(R-\{-1\}\)
- D \(R-\{0\}\)
Answer & Solution
Correct Answer
(B) \(R-\{1\}\)
Step-by-step Solution
Detailed explanation
Since, \(|x-1|\) is not differentiable at \(x=1 .\) So, \(f(x)=|x-1| e^{x}\) is not differentiable at \(x=1\), Hence, the required set is \(R-\{1\}\).
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