Grad | Gradient vector (English)
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Definition (advanced level)
The vector with x and y components [(∂f)/(∂x)] and [(∂f)/(∂y)] .
This is often written grad(f) or ∇f .
The rate of change of f at (x,y) as we move in direction (u,v) is given by ∇f(x,y) ·(u,v) .
∇f is normal to surfaces on which f is constant.
This is often written grad(f) or ∇f .
The rate of change of f at (x,y) as we move in direction (u,v) is given by ∇f(x,y) ·(u,v) .
∇f is normal to surfaces on which f is constant.
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