Math Problem Statement

implicit differentiation: x^2y^3 +4xy + x - 6y =2

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule
Algebraic Manipulation

Formulas

Product Rule: d/dx(f(x)g(x)) = f'(x)g(x) + f(x)g'(x)
Chain Rule: d/dx(f(g(x))) = f'(g(x))g'(x)

Theorems

Product Rule Theorem
Chain Rule Theorem

Suitable Grade Level

Grades 11-12, College Level Calculus