Vector Fields

You must include this line before you can plot vector fields

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Here we define a vector field explicitly

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We plot the vecor field with the command:

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This time will compute the vector field which is the gradient of a function f:

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Mathematica can compute the partial derivatives for us:

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Now, create a new function which gives us the gradient of f at the point (x,y):

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Now, we plot this new vector field

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Here we plot more points

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Created by Mathematica  (October 21, 2004)