Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivative
Logarithmic differentiation
Quotient rule
Product rule

Formulas

Derivative of ln(u) = 1/u * du/dx
Quotient rule: d/dx(g(x)/h(x)) = (g'(x)h(x) - g(x)h'(x)) / (h(x)^2)
Product rule: d/dx(f(x) * g(x)) = f'(x)g(x) + f(x)g'(x)

Theorems

Chain rule
Quotient rule
Product rule

Suitable Grade Level

Grades 11-12 (Advanced Calculus)