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Solve: monotonicity of f(x) = 3x^3 - 6x^2 + 7x — Detailed Solution | AhaStep

Home›Math›Solve: monotonicity of f(x) = 3x^3 - 6x^2 + 7x

📐 MathLevel 3 — 🟢 Basicmonotonicity👁 16 views⏱ 1 min read

Solve: monotonicity of f(x) = 3x³ - 6x² + 7x

📝 Problem

monotonicity of f(x) = 3x^3 - 6x^2 + 7x

✨Detailed Solution

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1. 📝 Identify: 3x^3 - 6x^2 +

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2. 📐 Derivative: f'(

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

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

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Increasing/Decreasing Intervals Find the intervals where f(x) = 3x³ - 4x² + 1x is increasing and decreasing. — Calculus