Math Problem Statement
find dy/dx by implicit differentiation
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Chain Rule
Derivatives
Formulas
d/dx(sqrt(x + y)) = 1/2(x + y)^(-1/2) * (1 + dy/dx)
d/dx(x^4) = 4x^3
d/dx(y^4) = 4y^3 * dy/dx
Theorems
Chain Rule
Power Rule
Implicit Differentiation Theorem
Suitable Grade Level
Grades 11-12 (Advanced Calculus)
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