CUET Mathematics - The interval on which the function f(x) = x^3 + 2x^2 - 1 is decreasing, is | PYQs + Solutions

CUET Mathematics 2025 27 May Shift 1

Calculus

Medium

common

$(-\infty, -4/3)$

$[0, \infty)$

$[-4/3, 0)$

$[-4/3, \infty)$

✅ Correct Option: 3

Related questions:

19 May Shift 1

For the function $f(x) = x^{1/x}$ , $x > 0$ , which of the following are correct?

(A) $x = 0$ is the only point where extremum may occur.

(B) The given function is maximum at $x = e$ .

(D) The maximum value of the function $f(x)$ is $e^{1/e}$ .

Choose the correct answer from the options given below:

29 May Shift 2

Match List-I with List-II

List-I	List-II
Function f(x)	Interval for increasing/decreasing of function f(x)
(A) $f(x) = x\|x\|$	(I) Decreases on $(0, \infty)$
(B) $f(x) = x^2 + 2x - 5$	(II) Increases on $(3, \infty)$
(C) $f(x) = x^2 - 6x + 9$	(III) Decreases on $(-\infty, -1)$
(D) $f(x) = -x^2$	(IV) Increases on $(-\infty, \infty)$

Choose the correct answer from the options given below:

22 May Shift 1

The function $f(x) = \frac{-3}{4}x^4 - 8x^3 - \frac{45}{2}x^2 + 163$ has a local maxima at

CUET Mathematics 2025 27 May Shift 1 PYQs