Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Logarithmic Differentiation
Derivatives
Chain Rule
Algebraic Manipulation

Formulas

ln(a^b) = b * ln(a)
ln(a/b) = ln(a) - ln(b)
Derivative of ln(y) = 1/y * dy/dx
Chain rule: d/dx [f(g(x))] = f'(g(x)) * g'(x)

Theorems

Chain Rule
Logarithmic Differentiation Theorem

Suitable Grade Level

Grades 11-12 / Calculus I