How to solve this math problem about monotonicity?

1. 📝 Identify: f(x) = 3x^3 - 2x^2 + 4x 2. 📐 Derivative: f'(x) = 9 * x ^ 2 + 4 - 4 * x

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Solve Find the intervals where f(x) = 3x³ - 2x² + 4x is increasing and decreasing. — Step-by-Step Solution by AhaStep | AhaStep

Home›Math›Solve Find the intervals where f(x) = 3x³ - 2x² + 4x is increasing and decreasing. — Step-by-Step Solution by AhaStep

📐 MathLevel 6 — 🔵 Intermediatemonotonicity👁 18 views⏱ 1 min read

Solve Find the intervals where f(x) = 3x³ - 2x² + 4x is increasing and decreasing. — Step-by-Step Solution by AhaStep

📝 Problem

Find the intervals where f(x) = 3x³ - 2x² + 4x is increasing and decreasing.

1. 📝 Identify: 3x^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: 3x^3 - 2x^2 +

2. 📐 Derivative: f'(

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

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

🔒 4 steps remaining

📐 Lv.2

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