Math Problem Statement
x^2(x + y) = y^2(4x − y) find dy/dx by implicit differentiation
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Differential Calculus
Algebraic Manipulation
Formulas
d/dx [f(x) * g(x)] = f'(x) * g(x) + f(x) * g'(x)
d/dx [y^n] = n * y^(n-1) * dy/dx (chain rule)
Theorems
Product Rule
Chain Rule
Suitable Grade Level
Grade 12 or First-Year Calculus
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