6. 1-amaliy mashg’ulot Mavzu: Maple dasturidan matematik masalalarni yechishda foydalanish. Limitlarni hisoblash

> Diff(f,x$2)=simplify(diff(f,x$2));

> Diff(f,y$2)=simplify(diff(f,y$2));

> Diff(f,x,y)=diff(f,x,y);



Mustaqil topshiriqlar
1-topshiriq
Ixtiyoriy nuqtada funksiya hosilasini toping.

1. 
   5. 9.
   
2. 
   6. 10.
   
3. 
   7. 11.
   
4. 
   8. 12.
   

2-topshiriq
y=f(x) funksiya berilgan. x=x₀ nuqtada funksiya grafigi va unga urinmani yasang. Urinma tenglamasi: y = f(x₀)(x-x₀) + f(x₀).

1. 
   6. , x₀=π∕6
   
2. 
   , x₀ =2 7. , x₀ =-1
   
3. 
   , x₀ =e 8. , x₀=-π/2
   
4. 
   , x₀ =-1 9. , x₀=3
   
5. 
   , x₀ =1 10. , x₀=-2
   

3-topshiriq


Hisoblang

1. 6.

2. 7.
3. 8.
4. 9.
5. 10.
4-topshiriq
Hisoblang

1. 6.

2. 7.
3. 8.
4. 9.
5. 10.
Nazorat uchun savollar
1. Funksiyalar differensiali qanday hisoblanadi?
2. Diff va diff buyruqlarini bajarilishini tushuntiring.
3. Xususiy hosilalar qanday bajariladi?
4. Differensiallash operatorining vazifasini tushuntiring.
5. Ko’p o’zgaruvchili funksiyalar hosilasi qanday hisoblanadi?
6. Yuqori tartibli hosilalar qanday hisoblanadi?