Polinom Interpolasi

Question 1

Turunan pertama selisih-maju O(h)

Answer 1

(f1 - f0) / h

Question 2

Turunan pertama selisih-mundur O(h)

Answer 2

(f0 - f-1) / h

Question 3

Turunan pertama selisih-pusat O(h^2)

Answer 3

(f1 - f-1) / 2h

Question 4

Turunan pertama selisih-maju O(h^2)

Answer 4

(-3(f0) + 4(f1) - f2) / 2h

Question 5

Turunan pertama selisih-pusat O(h^4)

Answer 5

(-f2 + 8(f1) - 8(f-1) + f-2) / 12h

Question 6

Turunan kedua selisih-pusat O(h^2)

Answer 6

(f1 - 2(f0) + f-1) / h^2

Question 7

Turunan kedua selisih-mundur O(h)

Answer 7

(f-2 - 2(f-1) + f0) / h^2

Question 8

Turunan kedua selisih-maju O(h)

Answer 8

(f2 - 2(f1) + f0) / h^2

Question 9

Turunan kedua selisih-maju O(h^2)

Answer 9

(-f3 + 4(f2) - 5(f1) +2(f0)) / 12h

Question 10

Turunan kedua selisih-pusat O(h^4)

Answer 10

(-f2 + 16(f1) - 30(f0) + 16(f-1) - f-2) / 12h^2

Question 11

Turunan ketiga selisih-maju O(h)

Answer 11

(f3 - 3(f2) + 3(f1) - f0) / h^3

Question 12

Turunan ketiga selisih-pusat O(h^2)

Answer 12

(f2 - 2(f1) + 2(f-1) - f-2) / 2h^3

Question 13

Turunan keempat selisih-pusat O(h^2)

Answer 13

(f2 - 4(f1) + 6(f0) - 4(f-1) + f-2) / h^4

Question 14

Turunan keempat selisih-maju O(h)

Answer 14

(f4 - 4(f3) + 6(f2) - 4(f-1) + f-2) / h^4