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Critical Points of Multivariable Function by Cárdenas Gutiérrez Ariel Alejandro is a document available to read on EtoBox.

What is Critical Points of Multivariable Function about?

The document finds the critical points and local extrema of the function f(x,y) = x^3 - 12xy + 8y^3. It takes the partial derivatives of f(x,y) with respect to x and y and sets them equal to 0 to find the critical points (2,1) and (0,0). It then takes the second partial derivatives and applies the second derivative test to determine that (2,1) is a local minimum with f(2,1) = -8, and (0,0) is a saddle point with f(0,0) = 0.

Author

Cárdenas Gutiérrez Ariel Alejandro

Language

EN