f'(x) if f(x) = (x+1)(x^2 + 3)

Derivative

d/dx((x + 1) (x^2 + 3)) = 3 x^2 + 2 x + 3

Polynomial discriminant

Δ = -32

Indefinite integral

integral(3 + 2 x + 3 x^2) dx = x^3 + x^2 + 3 x + constant