Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Critical Points
Maxima and Minima
Trigonometric Functions
Formulas
y = (1/√2)sin²(x) + sin(x)
Derivative of sin²(x) = 2sin(x)cos(x)
Derivative of sin(x) = cos(x)
Critical points: set dy/dx = 0
Theorems
Fundamental Theorem of Calculus
Trigonometric Double Angle Identity (sin(2x) = 2sin(x)cos(x))
Suitable Grade Level
Grade 12 - College Calculus
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