The function f(x) = 4x^2+1/x is decreasing in (A). (-1/2, 1/2) (B). (-∞, -1/2) (C). (0, 1/2) (D). (-1/2, 0) Choose the correct answer from the options given below: Option 1: (A) only Option 2: (B) and (D) only Option 3: (C) and (D) only Option 4: (A) and (B) only

The answer is '(C) and (D) only'. View full solution:

CUET Mathematics - The function f(x) = 4x^2+1/x is decreasing in (A). (-1/2, 1/2) (B). (-∞, -1/2) (C). (0, 1/2) (D). (-1/2, 0) Choose the correct answer from the options given below: | PYQs + Solutions

CUET Mathematics 2026 18th May Shift 1

Calculus

Medium

common

(A) only

(B) and (D) only

(A) and (B) only

✅ Correct Option: 3

Related questions:

3 June Shift 2

Let $f(x) = \log_e(\sin x), x \in (0, \pi)$ , then which of the following statements is/are TRUE?

(A) $f(x)$ is increasing on $(0, \pi/2)$

(B) $f(x)$ is decreasing on $(\pi/2, \pi)$

(D) $f(x)$ is decreasing on $(0, \pi)$

Choose the correct answer from the options given below:

3 June Shift 1

The edge of a cube is increasing at a rate of 7cm/s. The rate of change of area of the cube when edge of the cube is 3cm is:

18th May Shift 2

Match the LIST-I with LIST-II

LIST-I Function $f(x)$	LIST-II $f(x)$ is increasing in the interval
A. $f(x)=-x^2-2x+3$	I. $(-\infty,2)$
B. $f(x)=x^2+4x+1$	II. $(1,\infty)$
C. $f(x)=2x^2-4x+3$	III. $(-\infty,-1)$
D. $f(x)=-3x^2+12x+1$	IV. $(-2,\infty)$

Choose the correct answer from the options given below: