Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Chain Rule
Product Rule
Trigonometric Functions

Formulas

Chain rule: d[f(g(x))]/dx = f'(g(x)) * g'(x)
Product rule: d(uv)/dt = u'v + uv'
Derivative of tan(t): d(tan(t))/dt = sec^2(t)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Undergraduate or Advanced High School Calculus