Algebraically find the critical numbers of the function f(x) = -12x5 – 75x¹ + 100x³ - 7 and classify them. Leave answers in 4 decimal places. X = X = X = is a Neither a max or min is a Neither a max or min is a Neither a max or min

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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**Question:**

Algebraically find the critical numbers of the function \( f(x) = -12x^5 - 75x^4 + 100x^3 - 7 \) and classify them. Leave answers in 4 decimal places.

**Input Fields:**

1. **x = [____] is a [Dropdown: Neither a max or min]**
2. **x = [____] is a [Dropdown: Neither a max or min]**
3. **x = [____] is a [Dropdown: Neither a max or min]**

Each dropdown is correctly marked with a check.
Transcribed Image Text:**Question:** Algebraically find the critical numbers of the function \( f(x) = -12x^5 - 75x^4 + 100x^3 - 7 \) and classify them. Leave answers in 4 decimal places. **Input Fields:** 1. **x = [____] is a [Dropdown: Neither a max or min]** 2. **x = [____] is a [Dropdown: Neither a max or min]** 3. **x = [____] is a [Dropdown: Neither a max or min]** Each dropdown is correctly marked with a check.
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