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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