Mavzuga doir yechimlari bilan berilgan topshiriqlardan namunalar
1. funksiyaning hosilasi topilsin.
Yechish: , u deb belgilab, murakkab funksiyani hosilasini topish formulasidan foydalanamiz:
![](data:image/png;base64,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)
2. funksiyaning hosilasi topilsin.
Yechish: u deb olsak, ![](data:image/png;base64,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) hosil bo’ladi.Murakkab funksiyaning hosilasini topish formulasidan foydalanamiz.
.
3. funksiyaning hosilasi topilsin.
Yechish: u deb olsak,
![](data:image/png;base64,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) hosil bo’ladi. Murakkab funksiyaning hosilasini topish formulasidan foydalanamiz:
![](data:image/png;base64,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) ![](data:image/png;base64,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)
4. funksiyaga tesakari funksiyaning hosilasi topilsin.
Yechish: Berilgan funksiyaga teskari funksiya bo’lib, uning hosilasi ga teng.
5. , funksiyaga teskari bo’lgan funksiyaning hosilasi topilsin.
Yechish: Berilgan funksiya da uzluksiz va qat’iy o’suvchi. Uning hosilasi
hech bir nuqtada nolga aylanmaydi. Shuning uchun
6. funksiya formulalar bilan parametrik shaklda berilgan. topilsin.
Yechish: va funksiyalar ning har qanday qiymatlarida hosilaga ega va oraliqda . Bundan tashqari, . U holda parametrik shaklda berilgan funksiyaning hosilasini topish formulasiga asosan
.
7. funksiyaning hosilasi topilsin.
Yechish:Tenglikning har ikkala qismini hadma-had asosga ko’ra logarifmlaymiz va
ni hosil qilamiz. ni murakkab funksiya deb qarab, oxirgi tenglikning har ikkala qismidan bo’yicha hosila olamiz. Natijada
ni hosil qilamiz. Bundan esa ni aniqlaymiz:
8. Oshkormas holda berilgan quyidagi funksiyalarning hosilalari topilsin:
1) ; 2) .
Yechish: 1) Berilgan tenglikning har ikkala tomonidan bo’yicha hosila olamiz. Natijada yoki hosil bo’ladi. Undan esa kelib chiqadi.
2) Tenglikning har ikkala tomonidan bo’yicha hosila olamiz va ![](data:image/png;base64,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) ![](data:image/png;base64,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) ga ega bo’lamiz. Undan esa
kelib chiqadi.
9. funksiyaning hosilasi topilsin.
Yechish: Murakkab funksiyaning hosilasini topish formulasi va giperbolik funksiyaning hosilasidan foydalanamiz:
.
Do'stlaringiz bilan baham: |