Math Problem Statement

Whats the derivative of h(x)= arctan(xsin(x))

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Chain Rule
Product Rule
Trigonometry

Formulas

Derivative of arctan(u) with respect to u: d/du[arctan(u)] = 1/(1 + u^2)
Product rule: d/dx[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 (Advanced Calculus)