Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Trigonometric Functions

Formulas

First Derivative of y = 3 tan x: y' = 3 sec^2 x
Second Derivative of y = 3 tan x: y'' = 6 sec^3 x tan x
Derivative of tan x: d/dx(tan x) = sec^2 x
Derivative of sec^2 x: d/dx(sec^2 x) = 2 sec^3 x tan x

Theorems

Chain Rule
Trigonometric Derivatives

Suitable Grade Level

Grades 11-12 (or AP Calculus)