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Grade:
        
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
one year ago

Answers : (1)

Deepak Kumar Shringi
askIITians Faculty
4397 Points
							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)
one year ago
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