# Vieta's Derivatives

Algebra Level 4

$f(x)=x^{3}-x^{2}-2x+1$

Let the zeros of the function above be $$\alpha,\beta,\gamma$$.

Find $$f'(\alpha)\times f'(\beta)\times f'(\gamma)$$.


Details and Assumptions:

• $$f'(x)$$ denote the derivative of $$f(x)$$.
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