Math Problem Statement
y ln(y) − x ln(x) = 0. implicit differentiation
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Product Rule
Chain Rule
Logarithmic Differentiation
Formulas
Product Rule: (uv)' = u'v + uv'
Chain Rule: d/dx[f(g(x))] = f'(g(x)) * g'(x)
Logarithmic Differentiation: d/dx[ln(x)] = 1/x
Theorems
Product Rule
Chain Rule
Logarithmic Differentiation
Suitable Grade Level
Grades 11-12, College Level