Gradient Vector

Apr 3, 2023

Theorem: $\nabla w\perp$ level curve
$\nabla w = <\frac {\partial w} {\partial x}, \frac {\partial w} {\partial y}>$
Pointing to higher value of the function
By Chain Rule: $\frac {dw} {dt} = \nabla w \cdot \frac {d \vec r} {dt} = \nabla w \cdot \vec v$
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