Math Problem Statement
Differentiate implicitly: 𝑥𝑥4 + sin 𝑦𝑦 = 𝑥𝑥3�
Solution
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Math Problem Analysis
Mathematical Concepts
Implicit Differentiation
Chain Rule
Trigonometric Functions
Formulas
Derivative of x^n: d/dx(x^n) = nx^(n-1)
Chain Rule: d/dx(f(g(x))) = f'(g(x)) * g'(x)
Derivative of sin(y): d/dx(sin(y)) = cos(y) * dy/dx
Theorems
Implicit Differentiation Theorem
Chain Rule
Suitable Grade Level
Grades 10-12