Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithmic Differentiation
Product Rule
Implicit Differentiation
Trigonometric Functions

Formulas

y = x^{-3 \cos(x)}
\frac{dy}{dx} = x^{-3 \cos(x)} \left( 3 \sin(x) \ln(x) - \frac{3 \cos(x)}{x} \right)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 (Calculus)