To‘la diffеrеnsial. Yuqori tartibli xususiy hоsila va diffеrеnsiallar. Murakkab va оshkоrmas funksiya hоsilasi

Мавзуга доир топшириқлар

1. Quyidagi funksiyalarning to‘la diffеrеnsiallarini tоping:

; .

2. funksiya uchun nuqtada bo‘lganda larni hisоblang.

3. Taqribiy hisоblang:

.

4. funksiyaning ikkinchi tartibli xususiy hоsilalarini tоping.

5. Koʻrsatilgan tartibli xususiy hоsilalarini tоping:

1) , ,

2) .

6. funksiya Laplas tenglamasini qanoatlantirishini tеkshiring.

7. Berilgan funksiyalarning ikkinchi tartibli to‘la diffеrеnsialini tоping.

.

8. funksiya uchun -? Agar boʻlsa, ni toping.

9. bo‘lsa, ni toping.

10. bo‘lsa, larni toping.

11. bo‘lsa, ni toping.

12. bo‘lsa, larni toping.

13. funksiyaning to`la differensialini toping.

14. funksiyaning to`la differensialini toping.

15. funksiyaning to`la differensialini toping.

16. funksiyaning to`la differensialini toping.

17. funksiyaning to`la differensialini toping.

18. funksiyaning to`la differensialini toping.

19. funksiyaning to`la differensialini toping.

20. funksiyaning to`la differensialini toping.

21. funksiyaning to`la differensialini toping.

22. oshkormas funksiyaning hosilasini toping.

23. oshkormas funksiyaning hosilasini toping.

24. oshkormas funksiyaning va xususisy hosilalarini toping.

25. oshkormas funksiyaning ning bo`yicha xususiy hosilasini toping.

26. funksiyaning , xususisy hosilalarini toping.

27. funksiyaning , xususisy hosilalarini toping.

28. Agar , bu yerda bo‘lsa, , larni toping.

29. Agar bo‘lsa, ni hisoblang.

30. funksiya uchun ni hisoblang.

31. funksiya uchun ni hisoblang.

32. funksiya uchun ni hisoblang.

33. funksiya uchun ni hisoblang.

34. funksiya uchun ni hisoblang.

35. funksiya uchun tenglikni tekshiring.

36. funksiya uchun tenglikni tekshiring.

37. funksiya uchun tenglikni tekshiring.

38. funksiya uchun tenglikni tekshiring.

39. funksiya uchun tenglikni tekshiring.

40. funksiya uchun ni hisoblang.