Hoja1 OrdenAprox.f(xi+1)Et%Ea%xi=10-62102.12183436N/Ah=4121892.5393566051128.4403669725xi+1=52132254.757015742683.5098335855V.v f(xi+1)= 292232922054.7570157426xi-2=1.6f(xi-2)10.24h=0.2xi-1=1.8f(xi-1)=50.96v.v f(xi)=259xi=2f(xi)=102v.v f(xi)=312xi+1=2.2f(xi+1)=164.56xi+2=2.4f(xi+2)=239.84Aproxf(x)Et%f''(x)Et%Atrs255.21.467181467225817.3076923077central 2849.65250965252887.6923076923Adelante312.820.77220077223181.9230769231

f(x)= 25x^3-6x^2+7x-88a)Serie de Taylor de 0 a 3 xi=1 h=5b) Aprox. a la 1 y 2 derivadaxi=2 , h=0.2, Et%

Hoja2OrdenAprox.f(xi+1)Et%Ea%xi=206760.0099831822N/Ah=4181640.009796893291.7197452229xi+1=62430440.008929136581.0333612118V.v f(xi+1)= 40195631313640.006731881167.233031880942606440.003515608749.600220991153650920.000917115328.6086794561640195609.1711530615xi-2=4.8f(xi-2)106234.276096h=0.6xi-1=5.4f(xi-1)=214213.460224v.v f(xi)=400688xi=6f(xi)=401956v.v f(xi)=334120xi+1=6.6f(xi+1)=711202.115584xi+2=7.2f(xi+2)=1198376.847616Aproxf(x)Et%f''(x)Et%Atrs312904.2329621.9082595536221564.876833.6870355561central 414157.21283.3615213832337509.9327999991.0145854184Adelante515410.1926428.63130232494246.15679999947.9247446426

f(x)= 9x^6-6x^5+25x^4-20x^3+20x^2-16x+4a)Serie de Taylor de 0 a 6 xi=2 h=4b) Aprox. a la 1 y 2 derivadaxi=6 , h=0.6, Et%

Hoja3OrdenAprox.f(xi+1)Et%Ea%xi=307897.807140849N/Ah=7166681.276356480288.2882882883xi+1=102218538.57183019469.5194508009V.v f(xi+1)= 355733557038.571830194xi-2=8.82f(xi-2)2405.473872h=0.09xi-1=8.91f(xi-1)=2482.911384v.v f(xi)=888xi=9f(xi)=2562v.v f(xi)=206xi+1=9.09f(xi+1)=2642.757216xi+2=9.18f(xi+2)=2725.200528Aproxf(x)Et%f''(x)Et%Atrs878.76241.0402702703203.83999999991.0485436894central 888.03240.0036486486206.00000000010Adelante897.30241.0475675676208.15999999991.0485436893

f(x)= 4x^3-5x^2+6x-3a)Serie de Taylor de 0 a 3 xi=3 h=7b) Aprox. a la 1 y 2 derivadaxi=9 , h=0.09, Et%

Hoja4OrdenAprox.f(xi+1)Et%Ea%xi=0.603.663040.0099980017N/Ah=3182.815040.009954821295.5768420809xi+1=3.62860.847040.009530374490.3798193928V.v f(xi+1)= 18330.4950434491.807040.007549544180.8351731868412786.207040.003024625464.8699021848518812.60704-0.000263010932.0338376663xi-2=3.5f(xi-2)15997.75h=0.25xi-1=3.75f(xi-1)=22329.5546875v.v f(xi)=36924xi=4f(xi)=30513v.v f(xi)=36616xi+1=4.25f(xi+1)=40924.9140625xi+2=4.5f(xi+2)=53989.75Aproxf(x)Et%f''(x)Et%Atrs32733.7812511.348225408929626.2519.0893325322central 37190.718750.722345222635655.52.6231701988Adelante41647.6562512.792915854242446.7515.9240495958

f(x)= 24x^5+28x^4-22x^3+12x^2-4x+1a)Serie de Taylor de 0 a 5 xi=0.6 h=3b) Aprox. a la 1 y 2 derivadaxi=4 , h=0.25, Et%

Hoja5OrdenAprox.f(xi+1)Et%Ea%xi=701399713099.52731069N/Ah=5111767139596.02618461788.1049000906xi+1=12245639689584.587273720274.2173103522V.v f(xi+1)= 29611691453109485189563.026364203258.31428003334187001064536.848908203841.45210360555249136689515.865431084724.94037515166848779221.38889-131.286322598463.62319744276961279221.38889-135.08549767051.616082280686983544846.38889-135.83741773690.31882984296985497971.38889-135.90337563740.0279597104xi-2=-113f(xi-2)-3166413363067020000h=59xi-1=-54f(xi-1)=-4354681097088300v.v f(xi)=161184xi=5f(xi)=208848v.v f(xi)=160690xi+1=64f(xi+1)=16376950024711200xi+2=123f(xi+2)=6134565911851990000Aproxf(x)Et%f''(x)Et%Atrs7380815419147745791241084.9048-907125538889008564518973831.413central 175691789167792109000762486.72834536825415702149282706.37874Adelante277575424144107172210283888.55217528905520835301090852294432.04

f(x)= x^9-6x^8+12x^7-20x ^6+48x^5-48x^4+48x^3-96x^2-64x-7

a)Serie de Taylor de 0 a 9 xi=7 h=5b) Aprox. a la 1 y 2 derivadaxi=5 , h=59, Et%

Hoja6OrdenAprox.f(xi+1)Et%Ea%xi=90260043.4782608696N/Ah=514850-5.434782608746.3917525773xi+1=1424850-5.43478260870V.v f(xi+1)= 4600346000-5.4347826087xi-2=0.9985f(xi-2)23.9011080068h=0.00075xi-1=0.99925f(xi-1)=23.9505270008v.v f(xi)=-32xi=1f(xi)=24v.v f(xi)=96xi+1=1.00075f(xi+1)=24.0495269992xi+2=1.0015f(xi+2)=24.0991079932Aproxf(x)Et%f''(x)Et%Atrs65.963998875306.137496484496.00899999090.0093749905central 65.999998875306.249996484495.99999999760.0000000025Adelante66.035998875306.362496484495.9910000170.0093749823OrdenAprox.f(xi+1)Et%Ea%xi=30391669.0790649267N/Ah=0.9519251.226.952054507257.6703562781xi+1=3.95211985.7755.359711292722.8151704833V.v f(xi+1)= 12664.5587875312610.8013750.42447126194.9562780066412664.558787500.4244712619xi-2=5f(xi-2)34156h=2xi-1=7f(xi-1)=138412v.v f(xi)=177732xi=9f(xi)=389692v.v f(xi)=60816xi+1=11f(xi+1)=886348xi+2=13f(xi+2)=1752076Aproxf(x)Et%f''(x)Et%Atrs12564029.3092971443675639.5619573796central 1869845.2055904395613440.8681925809Adelante24832839.72047802319226851.7166535122

f(x)= 2x^3+54x^2-36x+8

a)Serie de Taylor de 0 a 3 xi=9 h=5b) Aprox. a la 1 y 2 derivadaxi=1 , h=0.00075, Et%f(x)= 66x^4-63x^3+33x^2-9x+1a)Serie de Taylor de 0 a 4 xi=3 h=0.95b) Aprox. a la 1 y 2 derivadaxi=9 , h=2, Et%

Hoja7OrdenAprox.f(xi+1)Et%Ea%xi=0.1200.6688-53.1135531136N/Ah=0.110.41684.5787545788-60.4606525912xi+1=0.2220.436804.5787545788V.v f(xi+1)= 0.4368

xi-2=-3.41f(xi-2)34.4862h=2xi-1=-1.41f(xi-1)=9.2062v.v f(xi)=-0.64xi=0.59f(xi)=-0.0738v.v f(xi)=4xi+1=2.59f(xi+1)=6.6462xi+2=4.59f(xi+2)=29.3662Aproxf(x)Et%f''(x)Et%Atrs-4.6462540central -0.64040Adelante3.3662540OrdenAprox.f(xi+1)Et%Ea%xi=302059.1648184493N/Ah=0.95140.916.492053728951.1002444988xi+1=3.95248.121.750553189115.004156276V.v f(xi+1)= 48.977375348.97737501.7505531891xi-2=5f(xi-2)104h=2xi-1=7f(xi-1)=300v.v f(xi)=10xi=9f(xi)=656v.v f(xi)=52xi+1=11f(xi+1)=1220xi+2=13f(xi+2)=2040Aproxf(x)Et%f''(x)Et%Atrs178242.30769230774023.0769230769central 230342.3076923077520Adelante282442.30769230776423.0769230769

f(x)= 2x^2-3x+1a)Serie de Taylor de 0 a 4 xi=0.12 h=0.1b) Aprox. a la 1 y 2 derivadaxi=0.59 , h=2, Et%f(x)= x^3-x^2+x-1a)Serie de Taylor de 0 a 4 xi=3 h=0.95b) Aprox. a la 1 y 2 derivadaxi=9 , h=2, Et%

Hoja8ordenf(xi+1) aprx.Et%Ea%xi=1.0471975512f'''(x)=senx00.8660254038200N/Axi+1=4.1887902048f''''(x)=cosx12.4368217306381.379936423464.4608633895h=3.1415926536f'''''(x)=-senx2-1.8368423377-112.100283631232.6636304329v.v.= f(xi+1)=-0.8660254038f''''''(x)=-cosx3-4.4206987278-410.458320096758.449049554f'''''''(x)=senx4-0.9057509196-4.587107455-388.0700236559f''''''''(x)=cosx50.3693311003142.6466820351345.2409014352f'''''''(x)=-senx6-0.78704037839.1204051496146.926575878f''''''''(x)=-cosx7-1.0866726429-25.478148582327.5733696447f'''''''(x)=senx8-0.8828703387-1.9450855464-23.0840583533f''''''''(x)=cosx9-0.84179739542.7976094284-4.87919581710-0.8641468190.21692028942.586299347xi-2=0.9985f(xi-2)0.840659585h=0.00075xi-1=0.99925f(xi-1)=0.8410655215v.v f(xi)=0.5403023059xi=1f(xi)=0.8414709848v.v f(xi)=-0.8414709848xi+1=1.00075f(xi+1)=0.8418759748xi+2=1.0015f(xi+2)=0.8422804913Aproxf(x)Et%f''(x)Et%Atrs0.54061780680.0583934119-0.84106548210.0481897375central 0.54030225520.000009375-0.84147094530.0000046988Adelante0.53998670360.0584121619-0.84187593550.04812414

f(x)= senx

a)Serie de Taylor de 0 a 10 xi=pi/3 h=pib) Aprox. a la 1 y 2 derivadaxi=1 , h=0.00075, Et%

Hoja9ordenf(xi+1) aprx.Et%Ea%xi=0.5f(x)=senx+x+505.979425538626.742181894N/Axi+1=3.6415926536f'(x)=cosx+119.9986007541-22.499338879340.1973767563h=3.1415926536f''(x)=-senx27.63273055126.4864705212-30.9963804832v.v.= f(xi+1)=8.162167115f'''(x)=-cosx33.097635930662.0488543433-146.4050237763f''''(x)=senx45.043486177838.208981674238.5814529603f'''''(x)=cosx57.281465669210.79004427930.7352886499f'''''''(x)=-senx66.64130659718.6330480195-9.6390531409f''''''''(x)=-cosx76.115402496125.0762400478-8.5996645556f'''''''(x)=senx86.228226010323.69396604361.8114871558f''''''''(x)=cosx96.30031580822.81074720471.1442251439106.287943325222.9623305113-0.1967651769xi-2=8.1f(xi-2)14.0698898108h=0.95xi-1=9.05f(xi-1)=14.4160659109v.v f(xi)=0.1609284709xi=10f(xi)=14.4559788891v.v f(xi)=0.5440211109xi+1=10.95f(xi+1)=14.9510383281xi+2=11.9f(xi+2)=16.2818628878Aproxf(x)Et%f''(x)Et%Atrs0.042013661373.8929593547-0.3393497194162.3780424361central 0.281564430174.96247153310.5043174087.2981915709Adelante0.5211151989223.81790242090.926055535470.2241910879

f(x)= senx

a)Serie de Taylor de 0 a 10 xi=0.5h=pib) Aprox. a la 1 y 2 derivadaxi=10 , h=0.95, Et%

Hoja10ordenf(xi+1) aprx.Et%Ea%xi=1f(x)=senx+cosx001.3817732907210.9356584844N/Axi+1=16f'(x)=cosx-senx111.0806046117186.7563333096-27.8703862327h=15f''(x)=,-senx- cosx22-154.3688905893-12293.5052461871100.7000144962v.v.= f(xi+1)=-1.245562797f'''(x)=,-cosx+senx33318.418236059325664.205741303148.4799151267f''''(x)=senx + cosx441458.9598834847117232.58352065278.1749834479f'''''(x)=cosx -senx55-3865.4333899469-310236.291296823137.7437595298f'''''''(x)=,-senx -cosx66-12414.0261842363-996560.00094505168.8623712196f''''''''(x)=.-cosx + senx7716111.863383481293640.83330328177.0489786859xi-2=-5.3f(xi-2)1.3866417784h=3xi-1=-2.3f(xi-1)=-1.4119812335v.v f(xi)=-0.0766287975xi=0.7f(xi)=1.4090598745v.v f(xi)=-1.4090598745xi+1=3.7f(xi+1)=-1.3779361726xi+2=6.7f(xi+2)=1.3192330689Aproxf(x)Et%f''(x)Et%Atrs0.9403470361327.14575510030.6244071244144.3137396584central 0.0056741768107.4047577277-0.623115239555.77794452Adelante-0.92899868241112.33623964490.6093516987143.2452665605

f(x)= senx

a)Serie de Taylor de 0 a 7xi=1h=15b) Aprox. a la 1 y 2 derivadaxi=0.7 , h=3, Et%

Hoja11OrdenAprox.f(xi+1)Et%Ea%xi=206250.0090474013N/Ah=4126250.005999085576.1904761905xi+1=6250250.002341106547.7611940299V.v f(xi+1)= 6561363050.000390184420.30134813644656103.9018442311xi-2=4.8f(xi-2)3701.5056h=0.6xi-1=5.4f(xi-1)=4978.7136v.v f(xi)=2808xi=6f(xi)=6561v.v f(xi)=972xi+1=6.6f(xi+1)=8493.4656xi+2=7.2f(xi+2)=10824.3216Aproxf(x)Et%f''(x)Et%Atrs2637.1446.0846153846847.4412.8148148148central 2928.964.3076923077972.720.0740740741Adelante3220.77614.71106.6413.8518518519

f(x)= x^4+12x^3+54x^2+108x+81a)Serie de Taylor de 0 a 6 xi=2 h=4b) Aprox. a la 1 y 2 derivadaxi=6 , h=0.6, Et%

Hoja12OrdenAprox.f(xi+1)Et%Ea%xi=906277.8940.0090897866N/Ah=7.5126880.3040.006102703876.6450037172xi+1=16.5252244.3290.002425248448.54885781V.v f(xi+1)= 68971.67275366124.01650.000412873320.9903878117468971.6727504.1287330529xi-2=-15.212f(xi-2)46424.8881719188h=9.456xi-1=-5.756f(xi-1)=888.4995539154v.v f(xi)=203.8042xi=3.7f(xi)=197.17803v.v f(xi)=158.984xi+1=13.156f(xi+1)=28112.9369744696xi+2=22.612f(xi+2)=241094.317353953Aproxf(x)Et%f''(x)Et%Atrs-73.1092982144135.8723216766501.5332736215.461476375central 1439.53243552606.3310940206319.9326848101.2357751723Adelante2952.17416925441348.53450971792069.71631361201.8393760378

f(x)= 0.9x^4+0.5x^3+0.016x^2+0.8x-0.002a)Serie de Taylor de 0 a 6 xi=9 h=7.5b) Aprox. a la 1 y 2 derivadaxi=3.7 , h=9.456, Et%

Hoja13OrdenAprox.f(xi+1)Et%Ea%xi=0.9024.883136824199.9958322587N/Ah=21349.314327884199.941492435292.8765771004xi+1=2.923063.079531284199.486956846988.5959759021V.v f(xi+1)= 597041.303947284317248.273387284197.111041853782.24123967364238083.76934890960.122730575892.7553762135346290.33190890941.998932130931.24735304156507125.01990890915.060312149931.71499762117660050.825623195-10.55362857823.1687924298746082.197051766-24.963246616111.53108488169769122.197051766-28.82227610832.995622813710770146.197051766-28.9937885302xi-2=4.9f(xi-2)69057623.1111005h=0.2xi-1=5.1f(xi-1)=99333635.1681645v.v f(xi)=241834891.386585xi=5.3f(xi)=140926315.021793v.v f(xi)=370038813.044707xi+1=5.5f(xi+1)=197397607.305664xi+2=5.7f(xi+2)=273238001.713036Aproxf(x)Et%f''(x)Et%Atrs207963399.26814414.0060402055282916694.91411923.5440486401central 245159930.3437491.3749211034371965310.7560510.520620444Adelante282356461.41935416.7558824123484227553.08752830.8585845639

f(x)= x^10+36x^9+8x^8-x^7-10x^6+x^5-2x^4+12x^3+x^2-x+5a)Serie de Taylor de 0 a 3 xi=0.9 h=2b) Aprox. a la 1 y 2 derivadaxi=5.3 , h=0.2, Et%