1.

If \[f(x)={{x}^{3}}-10{{x}^{2}}+200x-10\], then [Kurukshetra  CEE 1998]

A.            \[f(x)\]is decreasing in \[]-\infty ,10]\] and increasing in \[[10,\,\infty [\]
B.            \[f(x)\]is increasing in \[]-\infty ,10]\] and decreasing in \[[10,\,\infty [\]
C.            \[f(x)\]is increasing throughout real line
D.            \[f(x)\]is decreasing throughout real line
Answer» D.            \[f(x)\]is decreasing throughout real line


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