Math Problem Statement

Differentiate implicit function: 2x^3 + 5xy + 6y^2 = 87

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule

Formulas

d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x)
Chain Rule: d/dx(f(y)) = f'(y) * dy/dx

Theorems

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Suitable Grade Level

Grades 11-12