Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Product Rule
Logarithmic Functions
Higher-Order Derivatives
Formulas
Product Rule: \( (uv)' = u'v + uv' \)
Power Rule: \( \frac{d}{dx} x^n = nx^{n-1} \)
Logarithmic Derivative: \( \frac{d}{dx} \ln{x} = \frac{1}{x} \)
Theorems
Fundamental Theorem of Calculus
Suitable Grade Level
College Calculus
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