## Math Problem Statement

F(x)=x^3-3x^2+2x find tge local maxima and minima

## Solution

## Ask a new question for Free

### By Image

Drop file here or Click Here to upload

## Math Problem Analysis

### Mathematical Concepts

Calculus

Derivatives

Critical Points

Second Derivative Test

### Formulas

First derivative: F'(x) = 3x^2 - 6x + 2

Second derivative: F''(x) = 6x - 6

Quadratic formula: x = [-b ± √(b² - 4ac)] / 2a

### Theorems

Second Derivative Test: Determines whether a critical point is a local maximum or minimum by evaluating the second derivative at that point

### Suitable Grade Level

Grades 11-12

## Related Recommendation

Find Local Extrema for f(x) = x^2 - x^3 Using the Second Derivative Test

Finding the Local Minimum of f(x) = x^3 - 3x + 2

Finding Local Minima and Maxima for f(x) = 2x^3 - 27x^2 + 48x + 8

Identify Stationary Points of the Function y = x^3 - 3x + 2

Find Maxima and Minima of x^3 - 3x + 11 | Calculus Problem