Questions in differentiation

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If $f(x)=\sin x-\frac{x}{2}$ is increasing function, then
If x tends 0 to $\pi $, then the given function $f(x)=x\sin x+\cos x+{{\cos }^{2}}x$ is
Let $y={{x}^{2}}{{e}^{-x}}$, then the interval in which $y$ increases with respect to $x$ is
The function $y=2{{x}^{3}}-9{{x}^{2}}+12x-6$ is monotonic decreasing, when
For which value of $x$, the function $f(x)={{x}^{2}}-2x$ is decreasing
The function $f(x)=\cos x-2px$ is monotonically decreasing for
If $f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3$is monotonically increasing in each interval, then
In which interval is the given function $f(x)=2{{x}^{3}}-15{{x}^{2}}+36x+1$ is monotonically decreasing
The function $f(x)=\tan x-x$
The function $f(x)=\log (1+x)-\frac{2x}{2+x}$is increasing on

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