Math Problem Statement

y is an implicit function of x. Find an expression for dy/dx. 4x^2y^3=ye^2x

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Product Rule
Chain Rule
Exponential Functions

Formulas

Product rule: d(uv)/dx = u'v + uv'
Chain rule: d(e^u)/dx = e^u * du/dx

Theorems

Implicit Differentiation

Suitable Grade Level

Grades 11-12