Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Algebra

Question:

The set of points where the function f given by $f(x)= |x-2|$ is differentiable is :

Options:

R

(0, ∞)

R - {2}

R- {0}

Correct Answer:

R - {2}

Explanation:

The correct answer is Option (3) → R - {2}

$f(x)=|x-2|$ is not differentiable at '2' because it is a corner point and thus LHD ≠ RHD.