Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Product Rule
Quotient Rule
Chain Rule
Trigonometric Derivatives

Formulas

d/dx [f(x)g(x)] = f'(x)g(x) + f(x)g'(x) (Product Rule)
d/dx [f(x) / g(x)] = [f'(x)g(x) - f(x)g'(x)] / g(x)^2 (Quotient Rule)
d/dx [f(g(x))] = f'(g(x))g'(x) (Chain Rule)
d/dx [sin(x)] = cos(x)
d/dx [cos(x)] = -sin(x)
d/dx [tan(x)] = sec^2(x)
d/dx [sec(x)] = sec(x)tan(x)

Theorems

Power Rule
Chain Rule
Product Rule
Quotient Rule

Suitable Grade Level

College/University Level