Final answer:
The subject of this question is Mathematics. To find the maximum and minimum values of a multivariable function, calculate the partial derivatives, find the critical points, and evaluate the function at those points.
Step-by-step explanation:
The subject of this question is Mathematics.
When finding the maximum and minimum values of a multivariable function, we can use the method of partial derivatives. First, calculate the partial derivatives of the function with respect to each variable. Then, find the critical points by setting the partial derivatives equal to zero and solving for the variables. Finally, evaluate the function at the critical points to determine which one gives the maximum or minimum value.
SEO keywords: multivariable function, maximum value, minimum value