Math Problem Statement

use implicit differentiation to find dy/dx of 5x^3=-3xy+2 in terms of y

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Algebraic Manipulation

Formulas

Implicit differentiation: d/dx[f(y)] = f'(y) dy/dx
Product rule: d/dx[uv] = u'v + uv'

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12