Math Problem Statement

(c) y ln(y) − x ln(x) = 0. implicite differentaiation

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Logarithmic Functions

Formulas

d/dx [y ln(y)] = ln(y) dy/dx + dy/dx
d/dx [x ln(x)] = ln(x) + 1
dy/dx = (ln(x) + 1) / (ln(y) + 1)

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 / First Year Calculus