If x^2y^2 = a^/2, then d^2y/dx^2 = Option 1: 6a^/2x^4 Option 2: -6a^/2x^4 Option 3: 2y^3a^/2 Option 4: 2x^3a^/2

The answer is '2y^3a^/2'. View full solution:

CUET Mathematics - If x^2y^2 = a^/2, then d^2y/dx^2 = | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 2

Calculus

Medium

common

$\dfrac{6\sqrt{a^{\pi/2}}}{x^4}$

$\dfrac{-6\sqrt{a^{\pi/2}}}{x^4}$

$\dfrac{2y^3}{a^{\pi/2}}$

$\dfrac{2x^3}{a^{\pi/2}}$

✅ Correct Option: 3

Related questions:

17 Aug Shift 2

Let $y = \log(x + \sqrt{x^2+1})$ , and $a\frac{d^2y}{dx^2} + b\frac{dy}{dx} = c$ . Then identify the correct statements about the values of $a$ , $b$ and $c$ :

(A) $a = 1 + x^2$

(B) $b = 0$

(D) $b = x$

(E) $c = 2$

Choose the correct answer from the options given below :

13 May Shift 1

Match List-I with List-II

List-I	List-II
Function	Property
(A) $f(x) = \begin{cases} \frac{x}{\vert x \vert} & : x \neq 0 \\ 0 & : x = 0 \end{cases}$	(I) continuous but not differentiable at $x= 0$
(B) $f(x) = \vert x \vert$	(II) continuous but not differentiable at $x=1$
(C) $f(x) = \vert x^2 - 1 \vert$	(III) discontinuous at $x = 0$
(D) $f(x) = \vert x - 1 \vert$	(IV) continuous but not differentiable at $x = 1, -1$

Choose the correct answer from the options given below:

7 Aug Shift 2

If $y = x^{\sin x}$ , then value of $x^{-\sin x} \frac{dy}{dx} - \cos x \log x$ is :

CUET Mathematics 2026 18th May Shift 2 PYQs

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