How to solve this math problem about extrema?

1. 📝 Function: f(x) = -3x^2 + 8x + 2. 2. 📐 Derivative: f'(x) = 8 - 6 * x

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Solve Find the extrema (max/min) of y = -3x² + 8x + 2. — Step-by-Step Solution by AhaStep | AhaStep

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📐 MathLevel 8 — 🔵 Intermediateextrema👁 18 views⏱ 1 min read

Solve Find the extrema (max/min) of y = -3x² + 8x + 2. — Step-by-Step Solution by AhaStep

📝 Problem

Find the extrema (max/min) of y = -3x² + 8x + 2.

✨Detailed Solution

1. 📝 Function: 8x +

2. 📐 Derivative: f'(

3. 🎯 Local max: f(x) = 7.333$

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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1. 📝 Function: 8x +

2. 📐 Derivative: f'(

3. 🎯 Local max: f(x) = 7.333$

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

📐 Lv.5

Giải bài tập Tìm cực trị của hàm số y = -1x² + -2x + -1. — Lời giải chi tiết AhaStep