Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Inverse Trigonometric Functions
Differentiation
Function Behavior

Formulas

d/dx[arcsin(u)] = 1/sqrt(1 - u^2) * du/dx
d/dx[arctan(u)] = 1/(1 + u^2) * du/dx

Theorems

Chain Rule of Differentiation
Inverse Trigonometric Derivatives

Suitable Grade Level

Grades 11-12, Undergraduate