CUET Mathematics - The function f(x) = 2x^3 - 3x^2 - 36x + 7 is : A. Increasing in (-∞,-2) B. Decreasing in (-2,3) C. Neither increasing nor decreasing in (-2,3) D. Increasing in (3,∞) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 31st May Shift 2

Calculus

Medium

common

A and B only

B, C and D only

A, B and D only

C and D only

✅ Correct Option: 3

Related questions:

14 May Shift 2

Match List-I with List-II

The function $f(x) = 2x^3 - 15x^2 + 36x + 5$ for $x \in [2,5]$ has

List-I	List-II
(A) absolute maximum value	(I) 5
(B) absolute minimum value	(II) 60
(C) point of absolute maxima	(III) 3
(D) point of absolute minima	(IV) 32

Choose the correct answer from the options given below:

14 May Shift 2

The function $f(x) = kx^3 + 6kx^2 + 18x + 17$ is increasing on $\mathbb{R}$ (set of real numbers) if:

14 May Shift 1

Match List-I with List-II

$\begin{array}{|l|l|} \hline \rule{0pt}{2.8ex}\text{List-I} & \text{List-II} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(A) The minimum value of } f(x) = (2x - 1)^2 + 3 & \text{(I) } 4 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(B) The maximum value of } f(x) = -|x + 1| + 4 & \text{(II) } 10 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(C) The minimum value of } f(x) = \sin(2x) + 6 & \text{(III) } 3 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(D) The maximum value of } f(x) = -(x - 1)^2 + 10 & \text{(IV) } 5 \\[1.2ex] \hline \end{array}$

Choose the correct answer from the options given below:

CUET Mathematics 2026 31st May Shift 2 PYQs

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