Math Problem Statement

find dy/dx given 12e^x+5e^y

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Exponential Functions
Calculus

Formulas

Implicit differentiation: d/dx(f(y)) = f'(y) * dy/dx
Exponential function derivative: d/dx(e^u) = e^u * du/dx

Theorems

Chain Rule

Suitable Grade Level

Grades 11-12