2024 Slot 1 - f(x)= x+1/2 2 x in [0, /2] (A) f^(x)= x- 2 x (B) The critical points of the function are x=/6 and x=/2 (C) The minimum value of the function is 2 (D) The maximum value of the function is 3/4 Choose the correct answer from the options given below : | PYQs + Solutions

2024 Slot 1

Calculus

Easy

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

✅ Correct Option: 1

Related questions:

If a function $f(x)=x^{2}+b x+1$ is increasing in the interval $[1,2]$ , then the least value of $b$ is :

For the function $f(x) = 2x^3 - 9x^2 + 12x - 5$ , $x \in [0, 3]$ , match List-I with List-II :

List-I	List-II
A. Absolute maximum value	(I) $3$
B. Absolute minimum value	(II) $0$
C. Point of maxima	(III) $-5$
D. Point of minima	(IV) $4$

The rate of change (in $\mathrm{cm}^{2} / \mathrm{s}$ ) of the total surface area of a hemisphere with respect to radius $r$ at $r=\sqrt[3]{1.331} \mathrm{~cm}$ is :

2024 Slot 1 PYQs

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