Math Problem Statement
Calculate D→u f(1, 2, 3) for f(x, y, z) = 2xy + x2yz − z when →u points in the direction of ⟨1, 2, −1⟩.
Solution
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Math Problem Analysis
Mathematical Concepts
Gradient
Directional Derivative
Vector Calculus
Formulas
Gradient formula
Directional derivative formula
Theorems
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Suitable Grade Level
Advanced Undergraduate
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