CUET Mathematics - The interval in which the function f(x) = 2x^3 + 3x^2 - 12x + 1 is strictly increasing, is | PYQs + Solutions

CUET Mathematics 2025 21 May Shift 1

Calculus

Medium

core

$(-\infty, -2) \cup (1, \infty)$

$(-\infty, 1)$

$(-\infty, -1) \cup (2, \infty)$

$(-2, 1)$

✅ Correct Option: 1

Related questions:

15 May Shift 1

If $f(x) = a \log_e|x| + bx^2 + x$ has critical points at $x = -2$ and $x = 1$ , then

15 May Shift 2

Match List-I with List-II

The function $f(x) = (x - 1)(x + 1)^2$ has

List-I	List-II
(A) A local maxima at $x =$ ____	(I) $\frac{1}{3}$
(B) A local minima at $x =$ ____	(II) 0
(C) The local minimum value of $f(x) =$ ____	(III) -1
(D) The local maximum value of $f(x) =$ ____	(IV) $-\frac{32}{27}$

Choose the correct answer from the options given below:

3 June Shift 2

The two positive numbers whose sum is 16 and the sum of whose squares is minimum then the positive numbers are:

CUET Mathematics 2025 21 May Shift 1 PYQs