How to solve this math problem about monotonicity?

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

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Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 1x² + 2x is increasing and decreasing. — Calculus — Detailed Solution | AhaStep

Home›Math›Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 1x² + 2x is increasing and decreasing. — Calculus

📐 MathLevel 5 — 🟢 Basicmonotonicity👁 20 views⏱ 1 min read

Increasing/Decreasing Intervals Find the intervals where f(x) = 2x³ - 1x² + 2x is increasing and decreasing. — Calculus

📝 Problem

Find the intervals where f(x) = 2x³ - 1x² + 2x is increasing and decreasing.

1. 📝 Identify: 2x^3 - 1x^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 - 1x^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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Solve Find the intervals where f(x) = 2x³ - 9x² + 9x is increasing and decreasing. — Step-by-Step Solution by AhaStep