CUET Mathematics - For which of the following real functions, x=0 is a point of local maxima? (A) f(x)=4x^4-3x^3-2x^2+1 (B) f(x)=3x^5+sqrt(2)x^4-7x^2+4 (C) f(x)=5x^4-3x^2+e (D) f(x)=-3x^3+2x^2-9 Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Calculus

Hard

applied

(A), (B) and (C) only

(B), (C) and (D) only

(A), (C) and (D) only

(A), (B) and (D) only

✅ Correct Option: 1

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

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List-I	List-II
Function f(x)	Interval for increasing/decreasing of function f(x)
---	---
(A) $f(x) = x\vert x\vert$	(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 $(-\infty, \infty)$

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CUET Mathematics 2026 30th May Shift 2 PYQs