funksiya hosilasi

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1481131417_65081.ppt dx x df ) ( 0 x x f x d d ® d ) ( lim 0 0 0 0 0 ) ( ) ( lim ) ( 0 x x x f x f x f x x - - = ¢ ® d 0 0 ) ( ) ( x x x f x f - - 2 2 2 2 1 ) 1 ( ) 1 ( ) 1 ( ) 1 ( x x x f x f f d + d = - d + = - d + = d x x x x x f d + = d d + d = d d 2 2 ) 1 ( 2 . 2 ) 2 ( lim ) 1 ( lim 0 0 = d + = d d ® d ® d x x f x x 2 ) 1 …

silasi bo‘lar ekan. agar mavjud va chekli bo‘lsa, bu limit funktsiyaning nuqtadagi o‘ng hosilasi deyiladi va kabi belgilanadi. demak, agar mavjud va chekli bo‘lsa, bu limit funktsiyaning nuqtadagi chap hosilasi deyiladi va kabi belgilanadi. demak funktsiyaning o‘ng va chap hosilalari bir tomonli hosilalar deyiladi. funktsiyaning hosilasi, funktsiyaning o‘ng va chap hosilalari ta’riflaridan bevosita quyidagi tasdiqlar kelib chiqadi. bo‘lsa, uni ham funktsiyaning nuqtadagi hosilasi deb qaraladi. odatda bunday xosila cheksiz hosila deyiladi.

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1481131417_65081.ppt dx x df ) ( 0 x x f x d d ® d ) ( lim 0 0 0 0 0 ) ( ) ( lim ) ( 0 x x x f x f x f x x - - = ¢ ® d 0 0 ) ( ) ( x x x f x f - - 2 2 2 2 1 ) 1 ( ) 1 ( ) 1 ( ) 1 ( x x x f x f f d + d = - d + = - d + = d x x x x x f d + = d d + d = d d 2 2 ) 1 ( 2 …

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