Math Problem Statement

x³ + sin (xy) = 3, Dy/dx

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Chain Rule
Product Rule

Formulas

d/dx(x³) = 3x²
d/dx[sin(xy)] = cos(xy) * (x * dy/dx + y)
d/dx(constant) = 0

Theorems

Chain Rule
Product Rule

Suitable Grade Level

Grades 11-12 (or college calculus level)