Questions in differentiation

Select	Question
	$2{{x}^{3}}-6x+5$ is an increasing function if
	The length of the longest interval, in which the function $3\sin x-4\sin x$ is increasing, is
	Let $f(x)={{x}^{3}}+b{{x}^{2}}+cx+d,0<{{b}^{2}} < c$. Then $f$
	If $f(x)=x,-1\le x\le 1$, then function $f(x)$ is
	For all $x\in (0,\,1)$
	The function $f(x)=2{{x}^{3}}-3{{x}^{2}}+90x+174$ is increasing in the interval
	The function $f(x)={{\tan }^{-1}}(\sin x+\cos x)$, $x>0$ is always an increasing function on the interval
	Given function $f(x)=\left( \frac{{{e}^{2x}}-1}{{{e}^{2x}}+1} \right)$ is
	Function $f(x)=\frac{4{{x}^{2}}+1}{x}$ is decreasing for interval