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I need help in python with this Determine local extreme values for the function f(x, y) = 8xy4x^2 y2xy^2+x^2 y^2 Graphically determine local extreme values

I need help in python with this

Determine local extreme values for the function f(x, y) = 8xy4x^2 y2xy^2+x^2 y^2

Graphically determine local extreme values using a contour plot and compute local extreme values using scipy.optimize.fmin

fmin is an iterative method. Trace the iterates in your contour plot.

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