Math Problem Statement

Find 𝑑𝑦𝑑𝑥���� by implicit differentiation.

2𝑥^3𝑦^2−4𝑥^2𝑦=4

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule

Formulas

Product Rule: (uv)' = u'v + uv'
Chain Rule: dy/dx = dy/du * du/dx

Theorems

Implicit Differentiation Theorem

Suitable Grade Level

Grades 11-12 (Advanced High School Calculus)