CUET Mathematics - If y = 3e^2x + 2e^3x, then d^2y/dx^2 + 6y is equal to | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 1

Calculus

Medium

common

$\frac{dy}{dx}$

$5\frac{dy}{dx}$

$6\frac{dy}{dx}$

$30\frac{dy}{dx}$

✅ Correct Option: 2

Related questions:

14 May Shift 1

Let $y = \sin(\cos x^2)$ , then the value of $\frac{dy}{dx}$ at $x = \frac{\sqrt{\pi}}{2}$ is equal to

13 May Shift 1

Match List-I with List-II

List-I	List-II
Function	Property
(A) $f(x) = \frac{x}{\|x\|}$ for $x \neq 0$ and $f(0) = 0$	(I) continuous but not differentiable at $x=0$
(B) $f(x) = \|x\|$	(II) continuous but not differentiable at $x=1$
(C) $f(x) = \|x^2 - 1\|$	(III) discontinuous at $x = 0$
(D) $f(x) = \|x - 1\|$	(IV) continuous but not differentiable at $x = 1, -1$

Choose the correct answer from the options given below:

16 May Shift 1

If $y = \left(\log\left(x + \sqrt{x^2+a^2}\right)\right)^1$ and $x \neq \frac{1-a^2}{2}$ , then $(x^2+a^2)\frac{d^2y}{dx^2} + x\frac{dy}{dx}$ is equal to:

CUET Mathematics 2025 14 May Shift 1 PYQs

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