Math Problem Statement
Use the chain rule to find ∂z ∂s and ∂z ∂t . z = e^(x + 5y), x = s/t , y = t/s
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Partial Derivatives
Chain Rule
Exponential Functions
Formulas
Chain Rule: ∂z/∂s = e^(x + 5y) * (∂/∂s (x + 5y))
Chain Rule: ∂z/∂t = e^(x + 5y) * (∂/∂t (x + 5y))
x = s/t, y = t/s
Theorems
Chain Rule for Partial Derivatives
Exponential Function Derivative
Suitable Grade Level
Undergraduate Calculus
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