CUET Mathematics - If d/dx[ax^3 + ax^2 + ax + 1] = 9x^2 + 6x + 3, then a is equal to | PYQs + Solutions

CUET Mathematics 2025 3 June Shift 1

Calculus

Easy

core

✅ Correct Option: 3

Related questions:

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:

3 June Shift 1

If $y = \sqrt{ax + b}$ then $y\frac{d^2y}{dx^2} + (\frac{dy}{dx})^2 =$

30 May Shift 1

If $xy + \frac{x^2}{y} = x^3y + y$ , then $\frac{dy}{dx}$ is equal to

CUET Mathematics 2025 3 June Shift 1 PYQs