Math Problem Statement
найти стационарные точки функции двух переменных z = ysqrt(1+x) + xsqrt(1+y)
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Stationary Points
Partial Derivatives
Formulas
Partial derivative with respect to x: ∂z/∂x = (y / 2√(1+x)) + √(1+y)
Partial derivative with respect to y: ∂z/∂y = (x / 2√(1+y)) + √(1+x)
Theorems
Stationary Point Criterion
Condition for Stationary Points: ∇z = 0
Suitable Grade Level
Undergraduate - Advanced Calculus
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