Math Problem Statement
The gradient is a vector that combines all these rates of change and points in the direction of the steepest ascent of the function.....give me numerical example on direction
Solution
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Math Problem Analysis
Mathematical Concepts
Gradient
Partial Derivatives
Vector Calculus
Formulas
Gradient Formula: \( \nabla f = \left( \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y} \right) \)
Theorems
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Suitable Grade Level
Advanced Mathematics