The points of local maxima and local minima of the f(x) = x^3 - 6x^2 + 9x + 27 are Option 1: local maxima at x = 1 & local minima at x = 3 Option 2: local maxima at x = 3 & local minima at x = 1 Option 3: local maxima at x = -1 & local minima at x = -3 Option 4: local maxima at x = -3 & local minima at x = -1

The answer is 'local maxima at x = 1 & local minima at x = 3'. View full solution:

CUET Mathematics - The points of local maxima and local minima of the f(x) = x^3 - 6x^2 + 9x + 27 are | PYQs + Solutions

CUET Mathematics 2026 21st May Shift 1

Calculus

Easy

common

local maxima at x = 1 & local minima at x = 3

local maxima at x = 3 & local minima at x = 1

local maxima at x = -1 & local minima at x = -3

local maxima at x = -3 & local minima at x = -1

✅ Correct Option: 1

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Given a function $f(x) = ax + \frac{b}{x}$ ; $a > 0, b > 0$ , then

Match List-I with List-II

List-I	List-II
(A) $f(x)$ has local maxima at $x$ is equal to	(I) $\sqrt{\frac{b}{a}}$
(B) $f(x)$ has local minima at $x$ is equal to	(II) $2\sqrt{ab}$
(C) Local Maxima of $f(x)$	(III) $-\sqrt{\frac{b}{a}}$
(D) Local Minima of $f(x)$	(IV) $-2\sqrt{ab}$

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