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

CUET Mathematics 2025 22 May Shift 2

Calculus

Medium

common

$(0, \infty)$

$(-4,4)$

$\left[\frac{-4}{3}, 0\right]$

$\left(-\infty, \frac{-4}{3}\right] \cup [0, \infty)$

✅ Correct Option: 4

Related questions:

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The interval on which the function $f(x) = x^4 - \frac{x^3}{3}$ is strictly decreasing, is:

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Match List-I with List-II

Consider the function f(x) = 2x³ - 21x² + 36x + 80, x∈[0, 6]. Then

List-I	List-II
(A) one of its critical points is at x =	(I) -28
(B) Its absolute maximum value is	(II) -42
(C) Its absolute minimum value is	(III) 97
(D) Its second derivative at x = 0 is	(IV) 6

Choose the correct answer from the options given below:

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

CUET Mathematics 2025 22 May Shift 2 PYQs