Math Problem Statement

Find 𝑑𝑦𝑑π‘₯ by implicit differentiation.

2π‘₯3𝑦2βˆ’4π‘₯2𝑦=4

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule

Formulas

Product rule: \(\frac{d}{dx}(u \cdot v) = u'v + uv'\)
Chain rule: \(\frac{d}{dx}(f(g(x))) = f'(g(x)) \cdot g'(x)\)

Theorems

Implicit Differentiation Theorem
Product Rule
Chain Rule

Suitable Grade Level

Grades 10-12