Derivative Ratio of a Product Polynomial

Difficulty: Medium · Topics: Algebra, Polynomials, Derivatives

Ko‘paytma ko‘phad hosilalari nisbati

The function f(x)=(x-1)(x-2)·s(x-n) satisfies

(f'(n))/(f'(1))=n^2-7n+11.

Find the sum of all possible values of n.