Math Problem Statement

implicit:derivative:y^2\left(6-x\right)=x^3

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule
Polynomial Differentiation

Formulas

Product Rule: d/dx [u(x) v(x)] = u'(x) v(x) + u(x) v'(x)
Chain Rule: d/dx [y^2] = 2y * dy/dx

Theorems

Implicit Differentiation
Chain Rule in Calculus
Product Rule

Suitable Grade Level

Grades 11-12 / Early College