Find the Extreme Values of the Function and Where They $$y = x ^ { 3 } - 3 x ^ { 2 } + 1$$

question 195

Multiple Choice

Find the extreme values of the function and where they occur.
- $$y = x ^ { 3 } - 3 x ^ { 2 } + 1$$

• A) Local maximum at (0, 1).
• B) None
• C) Local minimum at (2, -3).
• D) Local maximum at (0, 1), local minimum at (2, -3).

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Definitions:

Hypotheses

Tentative explanations or suppositions made based on limited evidence as a starting point for further investigation.

Arguments

A series of statements typically used to persuade someone of something or to present reasons for accepting a conclusion.

Explanandum

The phenomenon or event that an explanation seeks to explain.

Explanation

A statement or account that makes something clear by describing the relevant structure, mechanisms, or reasons.