CUET Mathematics - d/dx(e^2_e x^3) equals | PYQs + Solutions

CUET Mathematics 2025 26 May Shift 2

Calculus

Medium

common

$30x^4$

$6x^5$

$5x^6$

$3x^2$

✅ Correct Option: 2

Related questions:

2 June Shift 1

If $y = \sin^{-1}x$ , then $(1-x^2)\frac{d^2y}{dx^2}$ is equal to

13 May Shift 2

$f(x)=\begin{cases}\dfrac{|x|}{x},&x\ne0\\1,&x=0\end{cases}$

$g(x)=\begin{cases}x\sin\left(\dfrac{1}{x}\right),&x\ne0\\0,&x=0\end{cases}$

Then at the origin, which one of the following is true?

30 May Shift 1

Match List-I with List-II

List-I	List-II
Function f(x)	Points of Non-Differentiability
(A) $f(x) = \|x\| + 1$	(I) Not differentiable at $x = 3$ only
(B) $f(x) = \|x - 3\|$	(II) Not differentiable at $x = -3$ only
(C) $f(x) = \|x + 3\|$	(III) Not differentiable at $x = 3, -3$ only
(D) $f(x) = \|x^2 - 9\|$	(IV) Not differentiable at $x = 0$ only

Choose the correct answer from the options given below:

CUET Mathematics 2025 26 May Shift 2 PYQs