Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Tangent Line
Logarithmic Functions

Formulas

Derivative of ln(u): d/dx[ln(u)] = u'/u
Product rule: d/dx[uv] = u'v + uv'
Chain rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)

Theorems

The equation of a tangent line at a point (x_1, y_1) is y - y_1 = m(x - x_1)
The slope of the tangent line is the derivative of the function at that point

Suitable Grade Level

Grades 11-12