F (x) = 1 / 3x3 + 1 / 2ax2 + AX-2. A ∈ R. if the function f (x) is a monotone increasing function on (- ∞, + ∞), find the value range of A

F (x) = 1 / 3x3 + 1 / 2ax2 + AX-2. A ∈ R. if the function f (x) is a monotone increasing function on (- ∞, + ∞), find the value range of A

The derivative is y = x ^ 2 + ax + a
Because f (x) is an increasing function, Y > 0
So for y, ⊿ = a ^ 2-4a