Extreme values for functions or systems of functions in this paper x-rays either maxima or minima and to do this, we determine either a maxima or minima for any given function such that derivatives of such a function must be evaluated and tested under given conditions. To achieve these results were put into use as guide. Such results include the Lagrange’s methods and the sign of a quadratic expression of n-variables. The use of this analysis was extended to finding maxima/minima for systems of equations.
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