Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Trigonometry
Critical Points
Formulas
Derivative of sqrt(3x) = 3 / (2 * sqrt(3x))
Derivative of 2 cos(x) = -2 sin(x)
Setting derivative equal to 0 for horizontal tangent: 3 / (2 * sqrt(3x)) - 2 sin(x) = 0
Theorems
Derivative of a function
Horizontal tangent line occurs when derivative = 0
Suitable Grade Level
Grades 11-12 or College Calculus I
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