How to solve this math problem about extrema?

1. 📝 Function: f(x) = 3x^2 - 1x + 2. 2. 📐 Derivative: f'(x) = 6 * x - 1

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Solve Find the extrema (max/min) of y = 3x² + -1x + 2. — Step-by-Step Solution by AhaStep | AhaStep

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📐 MathLevel 4 — 🟢 Basicextrema👁 18 views⏱ 1 min read

Solve Find the extrema (max/min) of y = 3x² + -1x + 2. — Step-by-Step Solution by AhaStep

📝 Problem

Find the extrema (max/min) of y = 3x² + -1x + 2.

✨Detailed Solution

1. 📝 Function: 3x^2 - 1x +

2. 📐 Derivative: f'(x) = 6 * x - 1

3. 🎯 Local min: f(x) = 1.917$

4. 💡 Real-world Application: 📌 Optimization problems in engineering (structural design, path planning), economic models, and production planning to maximize profit or minimize cost.

🔒 3 steps remaining

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