How to solve this math problem about monotonicity?

1. 📝 Identify: f(x) = 2x^3 - 8x^2 + 8x 2. 📐 Derivative: f'(x) = 6 * x ^ 2 + 8 - 16 * x

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Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 8x² + 8x is increasing and decreasing. — Calculus — Detailed Solution | AhaStep

Home›Math›Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 8x² + 8x is increasing and decreasing. — Calculus

📐 MathLevel 8 — 🔵 Intermediatemonotonicity👁 28 views⏱ 1 min read

Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 8x² + 8x is increasing and decreasing. — Calculus

📝 Problem

Find the intervals where f(x) = 2x³ - 8x² + 8x is increasing and decreasing.

1. 📝 Identify: 2x^3 - 8x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: x = 2$

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; 2/3)

🔒 6 steps remaining

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1. 📝 Identify: 2x^3 - 8x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: x = 2$

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; 2/3)

🔒 6 steps remaining

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Solve Find the intervals where f(x) = 2x³ - 9x² + 9x is increasing and decreasing. — Step-by-Step Solution by AhaStep