Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Chain Rule
Quotient Rule
Product Rule
Trigonometric Functions

Formulas

Chain rule: (f(g(x)))' = f'(g(x)) * g'(x)
Quotient rule: (f/g)' = (f'g - fg') / g^2
Product rule: (f * g)' = f'g + fg'
Derivatives of trigonometric functions: (tan(x))' = sec^2(x), (sec(x))' = sec(x)tan(x)

Theorems

Fundamental Theorem of Calculus
Differentiation Rules

Suitable Grade Level

College Calculus