Math Problem Statement
f\left(\frac{y}{x}\right) \cdot 1 + (x+y) \pdv{}{x} \left[f\left(\frac{y}{x}\right)\right]
Solution
We are asked to simplify the given expression:
Step 1: Rewrite the expression
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Math Problem Analysis
Mathematical Concepts
Partial Derivatives
Multivariable Calculus
Product Rule
Formulas
Chain Rule for Partial Derivatives: \frac{d}{dx}[f(g(x))] = f'(g(x)) \cdot g'(x)
Product Rule for Differentiation: \frac{d}{dx}(uv) = u'v + uv'
Theorems
Chain Rule
Product Rule
Suitable Grade Level
University Level
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