Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Differentiation
Logarithmic Functions
Exponential Functions

Formulas

Derivative of ln(x): d/dx[ln(x)] = 1/x
Derivative of xe^x: d/dx[xe^x] = e^x(x + 1)
Tangent line equation: y - y1 = m(x - x1)

Theorems

Derivative of logarithmic functions
Derivative of product of functions
Equation of tangent line

Suitable Grade Level

Grades 10-12