If \[f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3\] is monotonically increasing in every interval, then which one of the following is correct?

If \[f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3\] is monotonically increasing in

1.	If \[f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3\] is monotonically increasing in every interval, then which one of the following is correct?
A.	\[k<3\]
B.	\[k\le 3\]
C.	\[k>3\]
D.	\[k\ge 3\]
Answer» D. \[k\ge 3\]

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If \[f(x)=k{{x}^{3}}-9{{x}^{2}}+9x+3\] is monotonically increasing in every interval, then which one of the following is correct?

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