Practicing Success
The greatest integer function defined by f(x) = [2x], 0 < x < 2 |
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) |
differentiable except at the points $x=\frac{1}{2}, 1$ and $\frac{3}{2}$ in (0, 2) |
The correct answer is Option (3) → differentiable except at the points $x=\frac{1}{2}, 1$ and $\frac{3}{2}$ in (0, 2) |