Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Differentiation
Product Rule
Exponential Functions
Trigonometric Functions
Formulas
Product rule: \((f \cdot g)' = f' \cdot g + f \cdot g'\)
Derivative of \(e^x\): \(\frac{d}{dx}(e^x) = e^x\)
Derivative of \(\cos(x)\): \(\frac{d}{dx}(\cos(x)) = -\sin(x)\)
Theorems
Product Rule for Differentiation
Suitable Grade Level
Grades 11-12