JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1

The set of points where the function

f\left( x \right) = \left| {x - 1} \right|{e^x}

is differentiable, is

View answer and explanation

Correct option: B

R - \left\{ 1 \right\}

Option B (

R - \\{1\\}

) is correct because the absolute value function

|x - 1|

is not differentiable at

x = 1

, making the product

f(x) = |x - 1|e^x

also non-differentiable at that point.

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