Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Polynomials
Quotient Rule
Product Rule
Exponential Functions

Formulas

Power rule: \( \frac{d}{dx}(x^n) = n \cdot x^{n-1} \)
Product rule: \( \frac{d}{dx}(uv) = u'v + uv' \)
Quotient rule: \( \frac{d}{dx}(\frac{u}{v}) = \frac{u'v - uv'}{v^2} \)

Theorems

Derivative Rules
Linearity of Differentiation

Suitable Grade Level

Undergraduate (Calculus I)