Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithms
Chain Rule
Quotient Rule
Differentiation

Formulas

log_b(a^c) = c * log_b(a)
Derivative of log_b(u): d/dx[log_b(u)] = 1 / (ln(b) * u) * du/dx
Quotient Rule: d/dx[g(x)/h(x)] = (g'(x)h(x) - g(x)h'(x)) / h(x)^2

Theorems

Logarithmic Differentiation
Chain Rule
Quotient Rule

Suitable Grade Level

Grades 11-12 or College Level Calculus