Questions in differentiation

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The function $\sin x-bx+c$will be increasing in the interval $(-\infty ,\,\,\infty )$, if
The function ${{x}^{4}}-4x$is decreasing in the interval
For which interval the given function $f(x)=-2{{x}^{3}}-9{{x}^{2}}-12x+1$ is decreasing
$f(x)={{x}^{3}}-27x+5$is an increasing function, when
The function $f(x)={{x}^{2}}$is increasing in the interval
Function $f(x)={{x}^{4}}-\frac{{{x}^{3}}}{3}$is
For every value of x function $f(x)={{e}^{x}}$is
If $f'(x)$is zero in the interval (a, b) then in this interval it is
For the every value of x the function $f(x)=\frac{1}{{{5}^{x}}}$is
The interval for which the given function $f(x)=2{{x}^{3}}-3{{x}^{2}}-36x+7$ is decreasing, is

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