monotonicity 相关的数学解题方法?

1. 📝 Identify: f(x) = 3x^3 - 4x^2 + 1x 2. 📐 Derivative: f'(x) = 9 * x ^ 2 + 1 - 8 * x

这道题的难度是多少?

🔵 Intermediate (Level 10/20)

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

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

📐 数学难度 10 — 🔵 Intermediatemonotonicity👁 17 浏览次数⏱ 1 min read

📝 Problem

Find the intervals where f(x) = 3x³ - 4x² + 1x is increasing and decreasing.

1. 📝 Identify: 3x^3 - 4x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: x = 0.73841681$

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; 0.15047208)

🔒 6 步剩余

了解更多关于数学中monotonicity的知识。

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拍照或输入题目 — AI逐步解答

1. 📝 Identify: 3x^3 - 4x^2 +

2. 📐 Derivative: f'(

3. 🔍 Critical points: x = 0.73841681$

4. 📊 Sign chart f'(x): f'(x) + trên (-∞; 0.15047208)

🔒 6 步剩余

📐 Lv.2

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