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

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

📐 MathLevel 3 — 🟢 Basicmonotonicity👁 17 views⏱ 1 min read

Solve: monotonicity of f(x) = 2x³ - 7x² + 6x

📝 Problem

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

✨Detailed Solution

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1. 📝 Identify: 2x^3 - 7x^2 +

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2. 📐 Derivative: f'(

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3. 🔍 Critical points: x = 1.76759188$

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4. 📊 Sign chart f'(x): f'(x) + trên (-∞; 0.56574145)

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