Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Chain Rule
Inverse Trigonometric Functions
Square Root

Formulas

Chain Rule: dy/dx = dy/du * du/dx
Derivative of arctan(u): d/dx[arctan(u)] = 1/(1 + u^2)
Derivative of √x: d/dx[√x] = 1/(2√x)

Theorems

Chain Rule
Derivative of Inverse Trigonometric Functions

Suitable Grade Level

Undergraduate Calculus or Advanced High School Calculus