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Home » \binom122 = \frac12 \times 112 = 66 - ClickBalance

\binom122 = \frac12 \times 112 = 66 - ClickBalance

📅 May 18, 2026 👤 scraface

May 18, 2026

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\[ f''(x) = rac{d}{dx}(12x^2 - 18x + 6) = 24x - 18. \]
Evaluate the second derivative at the critical points:
For \( x = rac{1}{2} \):
\[ f''\left(rac{1}{2}
ight) = 24\left(rac{1}{2}
ight) - 18 = 12 - 18 = -6. \]
Since \( f''\left(rac{1}{2}
ight) < 0 \), \( x = rac{1}{2} \) is a local maximum.
For \( x = 1 \):
\[ f''(1) = 24(1) - 18 = 6. \]

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