The function f defined by f x = x 3 - 3 x 2 + 5 x + 7 is:

Question

The function f defined by f x = x 3 - 3 x 2 + 5 x + 7 is:, Decreasing in R, Increasing in R, Increasing in 0 , ∞ and decreasing in - ∞ , 0, Decreasing in 0 , ∞ and increasing in - ∞ , 0

MARKS App · Accepted Answer

We have f x = x 3 - 3 x 2 + 5 x + 7 f ′ x = 3 x 2 - 6 x + 5 > 0 D = b 2 - 4 a c = 36 - 4 · 3 · 5 = - 14 - ve Then, f ' x > 0 . Hence, f x is increasing in R .

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