Math Problem Statement

x44x2+10x^4-4x^2+10 find X- cordinates of all local minima using second derivative test

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Critical Points
Second Derivative Test

Formulas

First derivative: f'(x) = 4x^3 - 8x
Second derivative: f''(x) = 12x^2 - 8

Theorems

Second Derivative Test

Suitable Grade Level

Grades 11-12, College Calculus