Math Problem Statement

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Math Problem Analysis

Mathematical Concepts

Multivariable Calculus
Partial Derivatives
Chain Rule

Formulas

(∂f/∂x)^2 + (∂f/∂y)^2 = e^(-2s) * [(∂f/∂s)^2 + (∂f/∂t)^2]
x = e^s * cos(t)
y = e^s * sin(t)

Theorems

Chain Rule for Partial Derivatives

Suitable Grade Level

University-level (Calculus III or Advanced Calculus)