List of top Mathematics Questions on Increasing and Decreasing Functions asked in AP EAPCET

The function \[ f(x)=2x+\cot^{-1}x+\log\!\left(\sqrt{1+x^2}-x\right) \] is
If $f(x) = \sqrt{3}\sin x - \cos x - 2ax + b$ decreases for all $x \in \mathbb{R}$, then:
In the interval \[ (7,\infty), \] the function \[ f(x)=|x-5|+2|x-7| \] is:
If \[ y=x^3-ax^2+48x+7 \] is an increasing function for all real values of \(x\), then \(a\) lies in the interval
If \(0<x<\dfrac{\pi}{2}\), then
If \(f(x)=\sqrt{3\sin x-\cos x-2ax+b}\) decreases for all values of \(x\), then