CUET Mathematics - For the function f(x)=| x|, which of the following statements are correct? (A) f(x) is continuous for all x R (B) f(x) is differentiable for all x R (C) f(x) is not differentiable at x=(2n+1)/2, n Z (D) f(x) is not differentiable at x=n, n Z Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 29th May Shift 1

Calculus

Medium

core

(A) and (C) only

(A) and (B) only

(B) and (D) only

✅ Correct Option: 1

Related questions:

29th May Shift 1

Match List-I with List-II

List-I (Parametric function)	List-II ( $\dfrac{dy}{dx}$ )
(A) $x=\log t, y=\dfrac{1}{t}$	(I) $-\dfrac{1}{4t^2}$
(B) $x=t^2, y=2t$	(II) $\dfrac{1}{t}$
(C) $x=4t, y=\dfrac{1}{t}$	(III) $t^2$
(D) $x=2t^2, y=t^4$	(IV) $-\dfrac{1}{t}$

Choose the correct answer from the options given below:

31st May Shift 2

If $y = \left[\dfrac{2}{1+x^{b-a}+x^{c-a}} + \dfrac{2}{1+x^{c-b}+x^{a-b}} + \dfrac{2}{1+x^{a-c}+x^{b-c}}\right]^x$ , then $\dfrac{dy}{dx}$ is equal to :

18th May Shift 1

If $y = (1+x)(1+x^2)(1+x^4)$ , then $\frac{dy}{dx}$ at $x = -1$ is

CUET Mathematics 2026 29th May Shift 1 PYQs

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