CUET Mathematics - If x = e^t and y = e^2t then d^2y/dx^2 = | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 2

Calculus

Medium

common

$2x$

$2y$

$2$

$\frac{1}{2x}$

✅ Correct Option: 3

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Match List-I with List-II

List-I	List-II
(A) $f(x) = x \sin x$	(I) is not continuous at $x = -3$
(B) $f(x) = \frac{\|x\|}{x}, x \neq 0$ and $f(x) = 1 \text{ at } x = 0$	(II) is continuous everywhere
(C) $f(x) = x - [x]$ , $[x]$ denotes greatest integer function	(III) is not differentiable at $x = 1$
(D) $f(x) = e^{\|x - 1\|}$	(IV) is not continuous at $x = 0$

Choose the correct answer from the options given below:

CUET Mathematics 2025 22 May Shift 2 PYQs