2024 Slot 1 - If f(x)=2( ^-1(e^x)-/4), then f(x) is : | PYQs + Solutions

2024 Slot 1

Calculus

Medium

even and is strictly increasing in $(0, \infty)$

even and is strictly decreasing in $(0, \infty)$

odd and is strictly increasing in $(-\infty, \infty)$

odd and is strictly decreasing in $(-\infty, \infty)$

✅ Correct Option: 3

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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