Math Problem Statement

Find y' if xy = yx. y' =

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Logarithmic Differentiation
Product Rule
Exponential Functions

Formulas

Product rule: d(uv)/dx = u'v + uv'
Logarithmic differentiation: d/dx(y^x) = y^x(ln y + (x/y) y')
Implicit differentiation: Applying differentiation to both sides of an equation involving multiple variables

Theorems

Chain Rule
Product Rule
Logarithmic Differentiation

Suitable Grade Level

Grades 11-12 or College Level Calculus