CUET Mathematics - Which of the following functions f(x) are differentiable at x = 0? (A) |x| (B) |x - 1| (C) [x], where [t] denotes the greatest integer ≤ t (D) |x + 1| (E) x^2 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Calculus

Medium

core

(A), (B) and (D) only

(B) and (D) only

(B), (D) and (E) only

(A), (D) and (E) only

✅ Correct Option: 3

Related questions:

CUET Mathematics 2024 Slot 1

If $f(x)$ , defined by $f(x)=\left\{\begin{array}{lll}k x+1 & \text { if } & x \leq \pi \\ \cos x & \text { if } & x>\pi\end{array}\right.$ is continuous at $x=\pi$ , then the value of $k$ is :

19 May Shift 1

If $y = \sqrt{x + \sqrt{x + \sqrt{x + ...}}}$ , then

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Match List-I with List-II

List-I	List-II
(Parametric equations)	$\left(\frac{dy}{dx}\right)$
(A) $x = \frac{2}{t}, y = 2t$	(I) $4t^2$
(B) $x = t^3, y = 3t + 2$	(II) $2(t+1)$
(C) $x = \log t, y = 2t^2$	(III) $-t^2$
(D) $x = e^t, y = 2te^t$	(IV) $t^{-2}$

Choose the correct answer from the options given below:

CUET Mathematics 2025 22 May Shift 1 PYQs

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