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

CUET Mathematics 2024

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:

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 :

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

$f(x)=\sin x+\frac{1}{2} \cos 2 x \text { in }\left[0, \frac{\pi}{2}\right]$

(A) $f^{\prime}(x)=\cos x-\sin 2 x$

(B) The critical points of the function are $x=\frac{\pi}{6}$ and $x=\frac{\pi}{2}$

(D) The maximum value of the function is $\frac{3}{4}$

Choose the correct answer from the options given below :

CUET Mathematics 2024 PYQs

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