Math Problem Statement

Differentiate the implicit functions: 𝑥^3 + 𝑦^2 = 6𝑥𝑦 + 3

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Differentiation
Algebra

Formulas

Chain Rule: d/dx[f(y)] = f'(y) * (dy/dx)
Product Rule: d/dx[uv] = u'v + uv'

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 or early university level