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Home » Complete the square for the \( x \)-terms: - Belip

Complete the square for the \( x \)-terms: - Belip

📅 May 3, 2026 👤 scraface

May 03, 2026

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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 \( x = 1 \):
\[ f''(1) = 24(1) - 18 = 6. \]
Since \( f''(1) > 0 \), \( x = 1 \) is a local minimum.

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