CUET Mathematics - The function f(x) = -3/4x^4 - 8x^3 - 45/2x^2 + 163 has a local maxima at | PYQs + Solutions

CUET Mathematics 2025 22 May Shift 1

Calculus

Medium

common

$x = 0$ and $x = 3$

$x = -3$ and $x = -5$

$x = 0$ and $x = -5$

$x = -3$

✅ Correct Option: 3

Related questions:

30 May Shift 2

The function, $f(x) = x - \frac{1}{x}$ is

21 May Shift 1

Match List-I with List-II

List-I	List-II
(A) Maximum value of $f(x) = \sin^2 x - \cos^2 x$ , $\forall x \in (\pi, 2\pi)$ is	(I) 0
(B) Minimum value of $f(x) = \sin x \cos x$	(II) 1
(C) Point of Minima of $f(x) = x^x$ $(x > 0)$	(III) $-\frac{1}{2}$
(D) Maximum value of $f(x) = -x^{2026}$	(IV) $\frac{1}{e}$

Choose the correct answer from the options given below:

26 May Shift 2

If it is given that at $x = 1$ , the function $f(x) = x^4 - 62x^2 + 2ax + b$ attains its maximum value on the interval [0, 2], then the value of a is:

CUET Mathematics 2025 22 May Shift 1 PYQs

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