Math Problem Statement
Find the following derivatives.
z Subscript szs
and
z Subscript tzt,
where
zequals=2 xy minus 2 x squared y2xy−2x2y,
xequals=2 s plus 3 t2s+3t,
and
yequals=2 s minus 3 t
Solution
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Math Problem Analysis
Mathematical Concepts
Multivariable Calculus
Chain Rule
Partial Derivatives
Formulas
z_s = (∂z/∂x)(∂x/∂s) + (∂z/∂y)(∂y/∂s)
z_t = (∂z/∂x)(∂x/∂t) + (∂z/∂y)(∂y/∂t)
Theorems
Multivariable Chain Rule
Suitable Grade Level
Undergraduate Mathematics
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