CUET Mathematics - Interval in which the function f given by f(x) = x - 4x, x (0, /2) is strictly decreasing is | PYQs + Solutions

CUET Mathematics

Calculus

Medium

core

$0 < x < \frac{\pi}{3}$

$\frac{\pi}{3} < x < \frac{\pi}{4}$

$\frac{\pi}{4} < x < \frac{\pi}{2}$

$\frac{\pi}{2} > x > 0$

✅ Correct Option: 1

Related questions:

14 May Shift 1

Match List-I with List-II

$\begin{array}{|l|l|} \hline \rule{0pt}{2.8ex}\text{List-I} & \text{List-II} \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(A) The minimum value of } f(x) = (2x - 1)^2 + 3 & \text{(I) } 4 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(B) The maximum value of } f(x) = -|x + 1| + 4 & \text{(II) } 10 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(C) The minimum value of } f(x) = \sin(2x) + 6 & \text{(III) } 3 \\[1.2ex] \hline \rule{0pt}{2.8ex}\text{(D) The maximum value of } f(x) = -(x - 1)^2 + 10 & \text{(IV) } 5 \\[1.2ex] \hline \end{array}$

Choose the correct answer from the options given below:

13 May Shift 1

In which of the following intervals, the function $f(x) = -x^2 - 2x + 15$ is decreasing?

27 May Shift 1

The interval on which the function $f(x) = x^3 + 2x^2 - 1$ is decreasing, is

CUET Mathematics PYQs

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