Math Problem Statement

ln(|6+t+t^3|)

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Logarithms
Cubic Equations
Differentiation

Formulas

ln|u|, where u = 6 + t + t^3
Derivative of ln|u|: (1/u) * (du/dt)
Cubic equation: 6 + t + t^3 = 0

Theorems

Chain Rule for Differentiation
Properties of Logarithms

Suitable Grade Level

Grades 10-12