If \(f\left( x \right) = \frac{{{x^3}}}{3} - \frac{{5{x^2}}}{2} + 6x + 7\) increases in the interval T and decreases in the interval S, then which one of the following is correct?

T = (-∞, 2) ∪ (3, ∞) and S = (2, 3)

T = (2, 3) and S = (-∞, 2) ∪ (3, ∞)

If \(f\left( x \right) = \frac{{{x^3}}}{3} - \frac{{5{x^2}}}{2} + 6x +

1.	If \(f\left( x \right) = \frac{{{x^3}}}{3} - \frac{{5{x^2}}}{2} + 6x + 7\) increases in the interval T and decreases in the interval S, then which one of the following is correct?
A.	T = (-∞, 2) ∪ (3, ∞) and S = (2, 3)
B.	T = ϕ and S = (-∞, ∞)
C.	T = (-∞, ∞) and S = ϕ
D.	T = (2, 3) and S = (-∞, 2) ∪ (3, ∞)
Answer» B. T = ϕ and S = (-∞, ∞)

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If \(f\left( x \right) = \frac{{{x^3}}}{3} - \frac{{5{x^2}}}{2} + 6x + 7\) increases in the interval T and decreases in the interval S, then which one of the following is correct?

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