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Question: Answered & Verified by Expert
The set of points where the function $f(x)=|x-1| e^{x}$ is differentiable, is
MathematicsContinuity and DifferentiabilityMHT CETMHT CET 2007
Options:
  • A $R$
  • B $R-\{1\}$
  • C $R-\{-1\}$
  • D $R-\{0\}$
Solution:
1836 Upvotes Verified Answer
The correct answer is: $R-\{1\}$
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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