Math Problem Statement

For what values of x does the graph of f(x) = x + 2 sin(x) have a horizontal tangent

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Trigonometry
Horizontal Tangents

Formulas

Derivative of f(x) = x + 2sin(x) is f'(x) = 1 + 2cos(x)

Theorems

Horizontal Tangent Theorem (f'(x) = 0 at horizontal tangents)

Suitable Grade Level

Grades 11-12