Math Problem Statement
Differentiate y=tan inverse (3tanx)
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Trigonometry
Differentiation
Formulas
Derivative of tan inverse (u): d/dx[arctan(u)] = 1 / (1 + u^2)
Derivative of tan(x): d/dx[tan(x)] = sec^2(x)
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Theorems
Chain rule
Trigonometric Derivatives
Suitable Grade Level
Grades 11-12 or University Level