Q. 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) $R - \{ 0\}$
Explanation
(b)
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 $R - \{ 1\}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.