Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule
Logarithmic Differentiation

Formulas

d/dx (x ln y) = ln y + (x/y) dy/dx
d/dx (y^5) = 5y^4 dy/dx
d/dx (6 ln x) = 6/x

Theorems

Product Rule
Chain Rule

Suitable Grade Level

Grades 11-12, Calculus