egri chiziqning nuqtasiga o’tkazilgan urinma tenglamasi dan iborat bo’lgani uchun dastlab ni so’ngra ni topamiz.
.
Demak urinma tenglamasi
, , dan iborat.
3. funksiyaning hosilasi topilsin.
Yechish: Funksiyalar yig’indisining hosilasini topish formulasidan foydalanamiz:
.
4. Quyidagi funksiyalarning hosilalari topilsin:
1) 2) 3) .
Yechish: 1) Ko’paytmani hosilasini toppish qoidasidan foydalanamiz:
![](data:image/png;base64,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)
2) ![](data:image/png;base64,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)
3) Bu funksiyani hosilasini topish uchun bo’linmani hosilasini topish qoidasidan foydalanamiz:
5. To’g’ri chiziqli harakat qonuni
formula bilan berilgan. Bu harakatning bo’lgan paytdagi tezlanishi topilsin.
Yechish: Harakatning paytdagi tezligi:
,
paytdagi tezlanishi esa
;
ga teng bo’lib undan ,
6. funksiyaning beshinchi tartibli hosilasi topilsin.
Yechish:
.
7. funksiyaning to’rtinchi tartibli hosilasi topilsin.
Yechish:
8. funksiyaning ikkinchi tartibli hosilasi topilsin va hisoblansin.
Yechish:
Do'stlaringiz bilan baham: |