CUET Mathematics - The greatest integer function f(x) = [x] is differentiable for all values of | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Calculus

Medium

core

$x \in \mathbb{Z}$ (set of integers)

$x \in \mathbb{R}$ (set of real number)

$x \in \mathbb{R} - \mathbb{Z}$

$x \in \mathbb{Q}$ (set of rational number)

✅ Correct Option: 3

Related questions:

21 May Shift 1

If $y = t - \frac{1}{t}$ and $x = t + \frac{1}{t}$ , then $\frac{dy}{dx}$ is equal to

22 May Shift 1

Which of the following functions $f(x)$ are differentiable at $x = 0$ ?

(A) $|x|$

(B) $|x - 1|$

(D) $|x + 1|$

(E) $x^2$

Choose the correct answer from the options given below:

27 May Shift 1

If $y = \sqrt{\sin x + \sqrt{\sin x + \sqrt{\sin x + \cdots + \infty}}}$ then $\frac{dy}{dx}$ equals to

CUET Mathematics 2025 21 May Shift 1 PYQs