The function x5+6x4−18x3−10x2+45x−24 has only four distinct real roots: α, β, γ and δ (in no particular order). If f′(x) is the first derivative of f(x). Evaluate
f′(α)+f′(β)+f′(γ)+f′(δ)
Inspiration: This is exactly the problem titled
Inspired by Vieta's Derivatives with a twist.