1.

The function \[f(x)={{x}^{3}}-3{{x}^{2}}-24x+5\] is an increasing function in the interval given below [MP PET 1998]

A.            \[(-\infty ,\,-2)\cup (4,\infty )\]
B.            \[(-2,\infty )\]
C.             (?2, 4)
D.            \[(-\infty ,\,4)\]
Answer» B.            \[(-2,\infty )\]


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