Math Problem Statement
Use the chain rule to find ∂z/∂s . z = ex + 2y, x = s/t, y = t/s
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Partial Derivatives
Chain Rule
Formulas
∂z/∂s = ∂z/∂x * ∂x/∂s + ∂z/∂y * ∂y/∂s
∂z/∂x = e^x
∂z/∂y = 2
∂x/∂s = 1/t
∂y/∂s = -t/s^2
Theorems
Chain Rule for Partial Derivatives
Suitable Grade Level
University Level (Calculus 3 / Multivariable Calculus)
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