How to solve this math problem about monotonicity?

1. 📝 Identify: f(x) = 2x^3 - 2x^2 + 3x 2. 📐 Derivative: f'(x) = 6 * x ^ 2 + 3 - 4 * x

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Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 2x² + 3x is increasing and decreasing. — Calculus — Detailed Solution | AhaStep

Home›Math›Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 2x² + 3x is increasing and decreasing. — Calculus

📐 MathLevel 1 — 🟢 Basicmonotonicity👁 22 views⏱ 1 min read

Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 2x² + 3x is increasing and decreasing. — Calculus

📝 Problem

Find the intervals where f(x) = 2x³ - 2x² + 3x is increasing and decreasing.

1. 📝 Identify: 2x^3 - 2x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: f'(x) ≠ 0 → monotone

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; +∞)

🔒 4 steps remaining

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1. 📝 Identify: 2x^3 - 2x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: f'(x) ≠ 0 → monotone

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; +∞)

🔒 4 steps remaining

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Giải bài tập Tìm khoảng đồng biến, nghịch biến của hàm số y = 5x³ - 3x² + 7x — Lời giải chi tiết AhaStep