Web Reference: Oct 16, 2025 · This formula is called the Second Partials Test, and it can be used to classify the behavior of any function at its critical points, as long as its second partials exist there and as long as the value of this discriminate is not zero. The second derivative test involves computing the Hessian, the determinant of a matrix that helps decide whether points are maximums/minimums/saddle or inconclusive. Optimization of a function of several variables. Second order conditions for optimization of multi-variable functions. Derive some method that would enable an economic agent to find the maximum of a function of several variables. As before, set “the slope” of the function to zero.
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