Flag Differential Calculus> If f(x) =kx 3 -9x 2 +9x+3 is monotonicall...
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If f(x) =kx3-9x2+9x+3 is monotonically increasing in each interval, thenA) kB) k<=3C) k>3D) k>=3

MANOJ MISHRA , 6 Years ago
Grade
anser 1 Answers
Deepak Kumar Shringi

Last Activity: 6 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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