Math Problem Statement

differentiate with respect to x tan inverse[3tanx]

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Inverse Trigonometric Functions
Chain Rule

Formulas

d/dx [tan^(-1)(u)] = 1 / (1 + u^2) * du/dx
d/dx [tan(x)] = sec^2(x)

Theorems

Chain Rule
Derivative of Inverse Trigonometric Functions

Suitable Grade Level

Grades 11-12