Aadaki fonsiyonu minimum yapan noktalar bulunuz? EXAMPLE 4.11 CALCULATION OF EXTREMA Identify the stationary points of the following function (Fox, 1971), and determine if any extrema exist. f(x)=4+4.5x14x2+x12+2x222x1x2+x142x12x2 Solution. For this function, three stationary points can be located by setting f(x)=0 : x1f(x)=4.5+2x12x2+4x134x1x2=0x2f(x)=4+4x22x12x12=0 The set of nonlinear equations (a) and (b) has to be solved, say by Newton's method, to get the pairs (x1,x2) as follows: Question : prove stationary points (in Table ) in matlab using opt142.m fail function [f]=opt142(x) f(1)=4.5+2x(1)2x(2)+4x(1)34x(1)x(2) Aadaki fonsiyonu minimum yapan noktalar bulunuz? EXAMPLE 4.11 CALCULATION OF EXTREMA Identify the stationary points of the following function (Fox, 1971), and determine if any extrema exist. f(x)=4+4.5x14x2+x12+2x222x1x2+x142x12x2 Solution. For this function, three stationary points can be located by setting f(x)=0 : x1f(x)=4.5+2x12x2+4x134x1x2=0x2f(x)=4+4x22x12x12=0 The set of nonlinear equations (a) and (b) has to be solved, say by Newton's method, to get the pairs (x1,x2) as follows: Question : prove stationary points (in Table ) in matlab using opt142.m fail function [f]=opt142(x) f(1)=4.5+2x(1)2x(2)+4x(1)34x(1)x(2)