lagranj tenglamasi

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1486960001_65567.ppt ()()'() ()()'() fbfafc gbgagc - = - ( ) ()() ()()()()() ()() fbfa ôxfxfagxga gbga - =--- - ( ) ()() '()'() ()() fba ôxfxgx gbga - ¢ =- - ()() 0'()'()'() ()() fbfa ôcfcgc gbga - ==- - hayvonlarning turli muhit sharoitlarga moslanishi lagranj teoremasi lagranj teoremasi o`z navbatida quyidagi teoremaning xususiy holi bo`ladi. teorema (koshi teoremasi). agar [a,b] kesmada f(x) va g(x) berilgan bo`lib, 1) [a,b] da uzluksiz; ) (a,b) intervalda f`(x) va g`(x) mavjud, hamda g`(x)0 bo`lsa, u holda hech bo`lmaganda bitta shunday c (a<c<b) nuqta topilib, tenglik o`rinli bo`ladi. isbot. . ravshanki, (1.4) tenglik ma`noga ega bo`lishi uchun g(b)g(a) bo`lishi kerak. bu esa teoremadagi g`(x)0, x(a;b) shartdan kelib chiqadi. haqiqatdan ham, agar g(a)=g(b) bo`lsa, u holda g(x) funksiya roll teoremasining barcha shartlarini qanoatlantirib, biror c(a;b) nuqtada g`(c)=0 bo`lar edi. bu esa x(a;b) da g`(x)0 shartga ziddir. demak, g(b)g(a). endi yordamchi funksiyani tuzaylik. shartga ko`ra f(x) …
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1486960001_65567.ppt ()()'() ()()'() fbfafc gbgagc - = - ( ) ()() ()()()()() ()() fbfa ôxfxfagxga gbga - =--- - ( ) ()() '()'() ()() fba ôxfxgx gbga - ¢ =- - ()() 0'()'()'() ()() fbfa ôcfcgc gbga - ==- - hayvonlarning turli muhit sharoitlarga moslanishi lagranj teoremasi lagranj teoremasi o`z navbatida quyidagi teoremaning xususiy holi bo`ladi. teorema (koshi teoremasi). agar [a,b] kesmada f(x) va g(x) berilgan bo`lib, 1) [a,b] da uzluksiz; ) (a,b) intervalda f`(x) va g`(x) mavjud, hamda g`(x)0 bo`lsa, u holda hech bo`lmaganda bitta shunday c (a<c<b) nuqta topilib, tenglik o`rinli bo`ladi. isbot. . ravshanki, (1.4) tenglik ma`noga ega bo`lishi uchun g(b)g(a) bo`lishi kerak. bu esa teoremadagi g`(x)0, x(a;b) shartdan kelib chiqadi. haqiqatdan ham, agar g(a)=g(b) bo`lsa, u …

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