In which interval is the given function \[f(x)=2{{x}^{3}}-15{{x}^{2}}+36x+1\] is monotonically decreasing [RPET 1995]

In which interval is the given function \[f(x)=2{{x}^{3}}-15{{x}^{2}}+

1.	In which interval is the given function \[f(x)=2{{x}^{3}}-15{{x}^{2}}+36x+1\] is monotonically decreasing [RPET 1995]
A.	[2, 3]
B.	(2, 3)
C.	\[(-\infty ,\,2)\]
D.	\[(3,\,\infty )\]
Answer» C. \[(-\infty ,\,2)\]

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In which interval is the given function \[f(x)=2{{x}^{3}}-15{{x}^{2}}+36x+1\] is monotonically decreasing [RPET 1995]

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