komputasi numerik (menggunakan excel)

A.    Metode Selisih Maju

f'(x) = ((((6*((A4+0,05))^7))+COS(RADIANS(A4+0,05))+5)-(((6*((A4))^7))+COS(RADIANS(A4))+5))/0,05
x
f(x)
f'(x)
eksak
E
1
12,000
48,852
41,983
6,869
1,05
14,442
64,994
56,266
8,728
1,1
17,692
85,356
74,386
10,970
1,15
21,960
110,779
97,128
13,650
1,2
27,499
142,223
125,390
16,832
1,25
34,610
180,777
160,195
20,582
1,3
43,649
227,676
202,703
24,972
1,35
55,033
284,304
254,221
30,082
1,4
69,248
352,213
316,216
35,997
1,45
86,858
433,136
390,327
42,809
1,5
108,515
528,995
478,380
50,615
1,55
134,965
641,917
582,397
59,520
1,6
167,061
774,253
704,615
69,638
1,65
205,774
928,585
847,497
81,087
1,7
252,203
1107,744
1013,748
93,996
1,75
307,590
1314,831
1206,331
108,499
1,8
373,332
1553,223
1428,482
124,741
1,85
450,993
1826,597
1683,726
142,871
1,9
542,322
2138,945
1975,894
163,052
1,95
649,270
2494,593
2309,142
185,451
2
773,999
2898,213
2687,965
210,247





   B.     Metode Selisih Tengah

f’(x)= ((((6*((A4+0,05))^7))+COS(RADIANS(A4+0,05))+5)-(((6*((A4 0,05))^7))+COS(RADIANS(A4-0,05))+5))/(2*0,05)
x
f(x)
f'(x)
eksak
E
1
12,000
42,525
41,983
0,543
1,05
14,442
56,923
56,266
0,657
1,1
17,692
75,175
74,386
0,788
1,15
21,960
98,067
97,128
0,939
1,2
27,499
126,501
125,390
1,110
1,25
34,610
161,500
160,195
1,304
1,3
43,649
204,226
202,703
1,523
1,35
55,033
255,990
254,221
1,768
1,4
69,248
318,258
316,216
2,042
1,45
86,858
392,675
390,327
2,347
1,5
108,515
481,065
478,380
2,685
1,55
134,965
585,456
582,397
3,059
1,6
167,061
708,085
704,615
3,470
1,65
205,774
851,419
847,497
3,922
1,7
252,203
1018,165
1013,748
4,416
1,75
307,590
1211,288
1206,331
4,956
1,8
373,332
1434,027
1428,482
5,545
1,85
450,993
1689,910
1683,726
6,184
1,9
542,322
1982,771
1975,894
6,877
1,95
649,270
2316,769
2309,142
7,627
2
773,999
2696,403
2687,965
8,437

   C.    Metode Selisih Mundur
f'(x) = ((((6*((A4))^7))+COS(RADIANS(A4))+5)-(((6*((A4-0,05))^7))+COS(RADIANS(A4-0,05))+5))/0,05
x
f(x)
f'(x)
eksak
E
1
12,000
36,199
41,983
-5,783
1,05
14,442
48,852
56,266
-7,414
1,1
17,692
64,994
74,386
-9,393
1,15
21,960
85,356
97,128
-11,772
1,2
27,499
110,779
125,390
-14,611
1,25
34,610
142,223
160,195
-17,973
1,3
43,649
180,777
202,703
-21,926
1,35
55,033
227,676
254,221
-26,546
1,4
69,248
284,304
316,216
-31,913
1,45
86,858
352,213
390,327
-38,114
1,5
108,515
433,136
478,380
-45,244
1,55
134,965
528,995
582,397
-53,403
1,6
167,061
641,917
704,615
-62,698
1,65
205,774
774,253
847,497
-73,244
1,7
252,203
928,585
1013,748
-85,164
1,75
307,590
1107,744
1206,331
-98,587
1,8
373,332
1314,831
1428,482
-113,651
1,85
450,993
1553,223
1683,726
-130,503
1,9
542,322
1826,597
1975,894
-149,297
1,95
649,270
2138,945
2309,142
-170,196
2
773,999
2494,593
2687,965
-193,373

1 comment:

  1. permisi, numpang tanya, dapat rumus eksaknya dari mana ya?

    ReplyDelete