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根据区域边界函数$L_i$转换$y$并带入原式$f(x,\varphi(x))$求导令为0得到边界上的极值点$(xb_i,yb_i)$。 - \item 求出边界上的极值点$Pb_i$。 - \item 比较区域内极值点$Pi_i$和边界上极值点$Pb_i$,得到总的极值点。 + \item 对原式$f(x,y)$分别对$x,y$求偏导并令为0得到区域内可疑点。 + \item 使用拉格朗日乘数法对$f(x,y)$求出边界上可疑点。 + \item 将所有可疑点代入原函数,计算出所有的值并进行比较。 \end{enumerate} \section{多元函数微分应用} diff --git a/advanced-math/knowledge/2-derivatives-and-differential/derivatives-and-differential.pdf b/advanced-math/knowledge/2-derivatives-and-differential/derivatives-and-differential.pdf index d7bddeccbbdded3683aecb3c4c5219c657dd33e9..2ff999299d64837dd6fabfb26892fe5c28064c31 100644 GIT binary patch delta 30276 zcmZ6y19v7|6SbLiY};1Hwr$(CjXSn&+qP}n=-6f_)9*8D*81lA3;R^nsdMdpQuZKI z_aN*0l0b>p7GRTxlPCaveLOpRx%%=11oQ~>r}Xmr`ZsfB2&eLKX*kC62yw4<>W4p{ zbMABO_M7@Qxj$a7?>=5lxBNek1c2|O>!Z`Hx-|a3A5$#%PY&Od3HrUfdGarlx1ZN- z^mV6mxAX*ga`t<>*>d)Nd@O#RzVB`ymH>|rhwq_}tvx;bS$aTRntWNFpKaUM@yq4o zW8YlfT-w@_+v5%1MYK;Rz>5Rm+1th6x2?;UW4~)RHrKVZ<@wd!#i@_)r_m-E=lkaI 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