Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Trigonometric Functions
Chain Rule
Formulas
x = sin(y)
1 = cos(y) * dy/dx
(dy/dx)^2 = 1 / cos^2(y)
cos^2(y) = 1 - sin^2(y) = 1 - x^2
Theorems
Trigonometric Identity: sin^2(y) + cos^2(y) = 1
Chain Rule for differentiation
Suitable Grade Level
Undergraduate Calculus
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