Math Problem Statement

derivatives of logarithmic function

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Logarithmic Functions
Trigonometric Functions
Chain Rule

Formulas

f(x) = ln(sin^2(x))
y = 1 / ln(x)
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Quotient Rule: (u/v)' = (v * u' - u * v') / v^2

Theorems

Chain Rule
Quotient Rule

Suitable Grade Level

University Level (Calculus I and II)