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If f(x) =kx 3 -9x 2 +9x+3 is monotonically increasing in each interval, then A) k B) k＜=3 C) k＞3 D) k＞=3

If f(x) =kx3-9x2+9x+3 is monotonically increasing in each interval, then
A) k
B) k＜=3
C) k＞3
D) k＞=3

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1 Answers

Deepak Kumar Shringi
askIITians Faculty 4404 Points
5 years ago
find f’(x) for monotonically increasing f’(x)>0 (equal to as well but at descrete points)
3kx2-18x+9>0
so
3k>0 as well 182-4(3k)(9)<0
k>0 and k>3
so final answer k>3 (equal to as well)

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