## Math Problem Statement

f(x) = x2⁄3 (x − 6) Find the local minimum and maximum value of f. (Round your answer to two decimal places.) local minimum value

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Calculus

Critical Points

Derivative

Second Derivative Test

### Formulas

f'(x) = (2/3)x^(-1/3)(x - 6) + x^(2/3)

f''(x) = -(2/9)x^(-4/3)(x - 6) + (4/3)x^(-1/3)

### Theorems

Second Derivative Test

Critical Points Analysis

### Suitable Grade Level

Grades 11-12 (Calculus)

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