Math Problem Statement

differentiate

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Logarithmic Functions
Trigonometric Functions

Formulas

Product Rule: d(uv)/dx = u'v + uv'
Chain Rule: d(f(g(x)))/dx = f'(g(x)) * g'(x)
Logarithmic Differentiation

Theorems

Logarithmic differentiation simplifies functions with variable exponents
Chain rule for composite functions

Suitable Grade Level

Undergraduate Calculus