Questions in differentiation

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On the interval (1,3), the function $f(x)=3x+\frac{2}{x}$is
If $f(x)=\sin x-\cos x,$ the function decreasing in $0\le x\le 2\pi $ is
The function $f(x)=\frac{\log x}{x}$ is increasing in the interval
If $f(x)=x{{e}^{x(1-x)}}$, then $f(x)$ is
If $f(x)={{x}^{3}}-6{{x}^{2}}+9x+3$ be a decreasing function, then x lies in
If $f(x)=\frac{1}{x+1}-\log \,(1+x),\,x>0,$then $f$is
The function $f(x)=x\,+\,\cos x$ is
The function $f(x)={{x}^{1/x}}$is
The function $f(x)=1-{{x}^{3}}-{{x}^{5}}$ is decreasing for
The function ${{x}^{x}}$ is increasing, when

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