The value of k for which f x - kx 3 - 9 kx 2-9 x -3 is increasing on R-is-A- 0- 1-3B- 0- 2-3C- 0-3D- 0- 1-5

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The value of ...

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The value of k for which f (x) = kx³ - 9 kx² + 9x + 3 is increasing on R.is...

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f (x) = k x^{3} - 9 k x^{2} + 9 x + 3

k

f (x) = k x^{3} - 9 x^{2} + 9 x + 3

R

f : [0, 2] \to R

f^{''} (x) > 0

x \in (0, 2)

ϕ (x) = f (x) + f (2 - x),

ϕ

a

f (x) = a x^{2} + (a - 3) x + 1

y -

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