# Optimizing Multivariable Functions

Islam shared this question 2 years ago
Answered

Can GeoGebra optimize a function of the type z = f(x,y)? How?

## Comments (5)

1

Please give an example

1

Thank you for your response. For example, consider f(x,y) = x^2 + y^2, which would be graphed on 3D Graphics. Is there a way for GeoGebra to calculate the extremum of the function which would give a point of three coordinates? In this case it would be (0,0,0) fo example. The extremum option is not available in 3D graphics, it is just available for graphs on the x-y plane.

1

I wrote a code that worked! (x(Min[f(x), -10, 10]), x(Min[f(x(Min[f(x), -10, 10]), x), -10, 10]), f(x(f(x), -10, 10]), x(Min[f(x(Min[f(x), -10, 10]), x), -10, 10])))

I think this makes the min function very powerful!

1

para expresiones polinomicas puedes igualar las derivadas parciales a 0 y resolver el sistema con el CAS

1

Maybe this is interesting :)

https://www.geogebra.org/m/jyeskjy2

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