Math Problem Statement
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Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Inverse Trigonometric Functions
Chain Rule
Formulas
f'(x) = 1 / sqrt(1 - u^2) * du/dx
d/dx[sin^(-1)(u)] = 1 / sqrt(1 - u^2)
d/dx[cos(x)] = -sin(x)
Theorems
Chain Rule
Derivative of Inverse Sine Function
Suitable Grade Level
Undergraduate Calculus or AP Calculus (High School)