MATLAB: Plotting contours of a function

contourfunctionhelpMATLABplotting

Dear expert.
I am just a beginner when it comes to using MATLAB. Would anybody be so kind and show me the rope of this particular problem? I would like to use this as the base for my further practice.
Let z = f(x, y) = 2x y − y 2 − 4x 2 + 3y.
Draw the contour plot of the function. Point out the local extreme and the saddle point on that figure.
I would like to express my gratitude to your concern!

Best Answer

  1. Fix the limits of x and y. Use linspace for this. Read about linspace.
  2. Make x, Y to a grid using meshgrid. Read about this.
  3. Write your formula i.e f(x,y) interms of matrices X, Y. Read about element by element operations.
  4. Now you got f as a matrix, now you can use contourf.
  5. To find the local extreme use min. Read about this function.
Read about MATLAB basics. https://www.tutorialspoint.com/matlab/index.htm
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