Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

The greatest integer function defined by f(x) = [2x], 0 < x < 2

Options:

not differentiable in (0, 2)

not differentiable at x = 1 in (0, 2)

differentiable except at the points $x=\frac{1}{2}, 1$ and $\frac{3}{2}$ in (0, 2)

differentiable everywhere in (0, 2)

Correct Answer:

differentiable except at the points $x=\frac{1}{2}, 1$ and $\frac{3}{2}$ in (0, 2)

Explanation:

The correct answer is Option (3) → differentiable except at the points $x=\frac{1}{2}, 1$ and $\frac{3}{2}$ in (0, 2)