\( f'(w) = 3w^2 - 16w + 9 \). Diskriminante: \( 256 - 108 = 148 > 0 \), zwei kritische Punkte:

February 22, 2026

$\( f'(w) = 3w^2 - 16w + 9 \). Diskriminante: \( 256 - 108 = 148 > 0 \), zwei kritische Punkte:$

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\( w = \frac{16 \pm \sqrt{148}}{6} = \frac{16 \pm 2\sqrt{37}}{6} = \frac{8 \pm \sqrt{37}}{3} \).
\( w_1 \approx \frac{8 - 6.08}{3} \approx 0.64 \), \( w_2 \approx \frac{8 + 6.08}{3} \approx 4.69 \).
\( f(4.69) \approx (4.69)^3 - 8(4.69)^2 + 9(4.69) - 18 \approx 102.7 - 175.6 + 42.2 - 18 \approx -49.7 < 0 \),

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