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Home » acid SQL Server 2025 Features You Need to Master Before Years End! - Belip

acid SQL Server 2025 Features You Need to Master Before Years End! - Belip

📅 May 7, 2026 👤 scraface

May 07, 2026

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📌 The function \( f(x) = x^3 - 6x^2 + 9x + c \) has a local maximum at \( x = 1 \). Find \( c \) if \( f(1) = 2 \).

📌 Solution 8:

📌 \( f'(x) = 3x^2 - 12x + 9 \).

📌 Setting \( f'(x) = 0 \) for critical points:

📌 3x^2 - 12x + 9 = 0 \Rightarrow x^2 - 4x + 3 = 0 \Rightarrow (x-3)(x-1) = 0

📌 So \( x = 1 \) and \( x = 3 \) are critical points.

📌 Check \( f(1) = 2 \):

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