The local minimum value of f(x) = x^3 + 243/x is Option 1: 108 Option 2: 216 Option 3: 54 Option 4: 243

The answer is '108'. View full solution:

CUET Mathematics - The local minimum value of f(x) = x^3 + 243/x is | PYQs + Solutions

CUET Mathematics 2026 30th May Shift 2

Calculus

Easy

common

108

216

243

✅ Correct Option: 1

Related questions:

15 May Shift 2

Match List-I with List-II

The function $f(x) = (x - 1)(x + 1)^2$ has

List-I	List-II
(A) A local maxima at $x =$ ____	(I) $\frac{1}{3}$
(B) A local minima at $x =$ ____	(II) 0
(C) The local minimum value of $f(x) =$ ____	(III) -1
(D) The local maximum value of $f(x) =$ ____	(IV) $-\frac{32}{27}$

Choose the correct answer from the options given below:

26th May Shift 2

For the function $f(x) = |\sin 4x + 3|$ , then which of the following statements are correct ?

A. Minimum value of $f(x)$ is 2

B. There is no minimum value

C. Maximum value of $f(x)$ is 4

D. Maximum value of $f(x)$ is 3

Choose the correct answer from the options given below:

30 Aug Shift 1

Consider the function $f(x) = x^{\frac{1}{x}}$ . Its