The function f(x) = (4x^3-3x^2)/6 - 2sinx + (2x - 1) cos x:

Question

The function

\(f(x) = \frac{4x^3 - 3x^2}{6} - 2sin x + (2x-1) cos x:\)

(1) increases in [1/2, ∞)

(2)  increases in (- ∞, 1/2]

(3) decreases in [1/2, ∞)

(4) decreases in (-∞, 1/2]

Answer 1

The correct option is (1) increases in [1/2, ∞).