List of top Mathematics Questions on Increasing and Decreasing Functions asked in MHT CET

Find the value of \( k \) if the function \( f(x) = k\sin x + 2\cos x \) is increasing for all \( x \)

Find the value of \( k \) if the function \( f(x) = \dfrac{k\sin x + 2\cos x}{\sin x + \cos x} \) is increasing for all \( x \).

In a single toss of a fair die, the odds against the event that number 4 or 5 turns up is

Function $f(x) = e^{-1/x}$ is strictly increasing for all $x$ where

$f(x) = \log|\sin x|$, where $x \in (0, \pi)$ is strictly increasing on

The function $f(x) = \cot^{-1} x + x$ is increasing in the interval.

The function \( f(x) = \log(1 + x) - \frac{2x}{2+x} \) is increasing on

If $f(x) = 2x^3 - 15x^2 - 144x - 7$, then $f(x)$ is strictly decreasing in

The function $f(x) = \cot^{-1} x + x$ is increasing in the interval.