Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Chain Rule
Product Rule
Formulas
First derivative using the chain rule: \( f'(x) = e^{e^x} \cdot e^x \)
Second derivative using product rule and chain rule: \( f''(x) = e^{e^x} \cdot e^x \cdot (e^x + 1) \)
Theorems
Chain Rule
Product Rule
Suitable Grade Level
Grade 12 or College Level Calculus
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