Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Trigonometric Functions
Quotient Rule
Chain Rule
Formulas
sin(x/y) = 1/2
Quotient rule: (d/dx)(u/v) = (v * du/dx - u * dv/dx) / v^2
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Differentiation Theorem
Trigonometric Derivatives
Suitable Grade Level
College-level Calculus (First-year)
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