CUET Mathematics - The greatest possible value of '' such that the function f(x) = x^2 + x + 1 is always decreasing in the interval [1, 2] is: | PYQs + Solutions

CUET Mathematics 2025 14 May Shift 2

Calculus

Medium

common

-2

-4

✅ Correct Option: 2

Related questions:

19 May Shift 1

For the function $f(x) = x^{1/x}$ , $x > 0$ , which of the following are correct?

(A) $x = 0$ is the only point where extremum may occur.

(B) The given function is maximum at $x = e$ .

(D) The maximum value of the function $f(x)$ is $e^{1/e}$ .

Choose the correct answer from the options given below:

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:

13 May Shift 1

In which of the following interval the function $f(x) = x^x, x > 0$ is strictly increasing?

CUET Mathematics 2025 14 May Shift 2 PYQs