Questions in differentiation

Select	Question
	The function f defined by $f(x)=(x+2){{e}^{-x}}$ is
	If $f(x)={{x}^{3}}-10{{x}^{2}}+200x-10$, then
	If $f(x)=\frac{x}{\sin x}$and $g(x)=\frac{x}{\tan x}$, where $0 < x\le 1$, then in this interval
	Function $f(x)=2{{x}^{3}}-9{{x}^{2}}+12x+29$ is monotonically decreasing, when
	$2{{x}^{3}}+18{{x}^{2}}-96x+45=0$is an increasing function when
	The function $\frac{a\sin x+b\cos x}{c\sin x+d\,\cos x}$ is decreasing, if
	The function $f(x)=1-{{e}^{-{{x}^{2}}/2}}$ is
	Consider the following statements S and R. S : Both $\sin x$ and $\cos x$ are decreasing functions in $\left( \frac{\pi }{2},\pi \right)$ R : If a differentiable function decreases in (a, b) then its derivative also decreases in (a, b). Which of the following is true
	The function which is neither decreasing nor increasing in $\left( \frac{\pi }{2},\frac{3\pi }{2} \right)$ is
	Function $f(x)=\frac{\lambda \sin x+6\cos x}{2\sin x+3\cos x}$ is monotonic increasing, if