#1 Newton
[?] Enter source function, f(x) = : cos(x)^3+(x^3)*exp(x)-(x^6)-35
[?] Enter the left-border: 4
[?] Enter the right-border: 5
You entered f(x) = -x**6 + x**3*exp(x) + cos(x)**3 - 35
f(x)'=-6*x**5 + x**3*exp(x) + 3*x**2*exp(x) - 3*sin(x)*cos(x)**2
f(x)''=-30*x**4 + x**3*exp(x) + 6*x**2*exp(x) + 6*x*exp(x) + 6*sin(x)**2*cos(x) - 3*cos(x)**3
f(4.0)=-636.997667104733284911, f(5.0)=2891.66771248295814202
X0=5.0
<2> X1=4.73550682618944426456
<3> X2=4.66365059561803172127
<4> X3=4.62426959873619171447
<5> X4=4.59994320237536333809
<6> X5=4.58403700666389876311
<7> X6=4.57329408444510089539
<8> X7=4.56589090768987273051
<9> X8=4.56072175001618743714
<10> X9=4.55708038828331395975
<11> X10=4.55449962499287459969
<12> X11=4.55266278336563381302
<13> X12=4.55135152440962677327
<14> X13=4.55041348627473795719
<15> X14=4.54974143363918195301
<16> X15=4.54925943002891090050
<17> X16=4.54891346739726435900
<18> X17=4.54866501351677827827
<19> X18=4.54848651574395763416
<20> X19=4.54835824071606853013
<21> X20=4.54826603894791244628
<22> X21=4.54819975635879314860
<23> X22=4.54815210173895263101
<24> X23=4.54811783733866850665
<25> X24=4.54809319938232583121
<26> X25=4.54807548267275339425
<27> X26=4.54806274255162561796
<28> X27=4.54805358092151875245
<29> X28=4.54804699254805025718
<30> X29=4.54804225462321027061
<31> X30=4.54803884739391312274
<32> X31=4.54803639710732149514
<33> X32=4.54803463499300531854
<34> X33=4.54803336777166037270
<35> X34=4.54803245644989002782
<36> X35=4.54803180107223009604
<37> X36=4.54803132975646225568
<38> X37=4.54803099080881224142
<39> X38=4.54803074705382133580
<40> X39=4.54803057175678543389
<41> X40=4.54803044569143122238
<42> X41=4.54803035503116077223

--------------------------------------------------------------------------------------------------
#2 Fixed point iterations
======1
[?] Enter source function, f(x) = :  (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: 2
[?] Enter the right-border: 3
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(x)'=x**3*sinh(x) + 3*x**2*cosh(x) - 9*pi
f(x)''=x**3*cosh(x) + 6*x**2*sinh(x) + 6*x*cosh(x)
f(2.0)=-23.3095095823574333774, f(3.0)=190.145464892665053533
Gamma 514.035163043649415434
Alpha 45.8868976734715885099
Lambda 0.00357192570237096401292
q 0.836095410798060441733
X0=3.0
<2> X1=2.32081452676061389931
<3> X2=2.31443050969785454979
<4> X3=2.31071186297378356938
<5> X4=2.30852592969317288110
<6> X5=2.30723420491048431365
<7> X6=2.30646854646241911160
<8> X7=2.30601388913366783641
<9> X8=2.30574361968004204379
<10> X9=2.30558285720853896511
<11> X10=2.30548719603810960274
<12> X11=2.30543026045185750851
<13> X12=2.30539636904007504412
<14> X13=2.30537619328053024259
<15> X14=2.30536418196479349484
<16> X15=2.30535703101958410706
<17> X16=2.30535277362829697451
<18> X17=2.30535023891992454801
<19> X18=2.30534872983041156211
<20> X19=2.30534783136051080446
<21> X20=2.30534729643541292798
<22> X21=2.30534697795483014898
<23> X22=2.30534678833957857886
<24> X23=2.30534667544742287374
<25> X24=2.30534660823425266533
======2
[?] Enter source function, f(x) = :  (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: -3
[?] Enter the right-border: -2
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(x)'=x**3*sinh(x) + 3*x**2*cosh(x) - 9*pi
f(x)''=x**3*cosh(x) + 6*x**2*sinh(x) + 6*x*cosh(x)
f(-3.0)=-183.862279585485467056, f(-2.0)=29.5926948895370198543
Gamma 514.035163043758889859
Alpha 45.8868976734894620187
Lambda 0.00357192570237015161886
q 0.836095410798033877131
Phi: -0.00357192570237015161886*x**3*cosh(x) + 0.0321473313213313645698*pi*x + x - 0.00357192570237015161886*pi
X0=-3.0
<2> X1=-2.34325759785223763364
<3> X2=-2.34959777468291470524
<4> X3=-2.35309183796682487124
<5> X4=-2.35499810459185963889
<6> X5=-2.35603228603393745656
<7> X6=-2.35659161886284538468
<8> X7=-2.35689362422522564763
<9> X8=-2.35705654027140433310
<10> X9=-2.35714438172289346608
<11> X10=-2.35719173171107831016
<12> X11=-2.35721725155867734613
<13> X12=-2.35723100472707551933
<14> X13=-2.35723841628280728680
<15> X14=-2.35724241026624873527
<16> X15=-2.35724456254190800757
<17> X16=-2.35724572235151182135
<18> X17=-2.35724634734282815844
<19> X18=-2.35724668413380287023
<20> X19=-2.35724686562119655659
<21> X20=-2.35724696341970796581
------------------------------------------------------
X=-2.35724696341970796581
======3
[?] Enter source function, f(x) = : (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: -1
[?] Enter the right-border: 1
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(x)'=x**3*sinh(x) + 3*x**2*cosh(x) - 9*pi
f(x)''=x**3*cosh(x) + 6*x**2*sinh(x) + 6*x*cosh(x)
f(-1.0)=29.8728459010826886061, f(1.0)=-23.5896605939031021292
Gamma -22.4698907842186063538
Alpha -28.2743338823081391462
Lambda -0.0394133522217217591979
q 0.114386280137972309166
Phi: 0.0394133522217217591979*x**3*cosh(x) - 0.354720169995495832781*pi*x + x + 0.0394133522217217591979*pi
X0=-1.0
<2> X1=0.177388997364589132575
<3> X2=0.103753301063368863719
<4> X3=0.111997000686062293810
<5> X4=0.111065493587250766401
<6> X5=0.111170660914263557069
<7> X6=0.111158786334681301715
<8> X7=0.111160127094038523986
<9> X8=0.111159975708644929633
------------------------------------------------------
X=0.111159975708644929633

--------------------------------------------------------------------------------------------------
Dihotomy
======1
[?] Enter source function, f(x) = : (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: 2
[?] Enter the right-border: 3
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(2.0)=-23.3095095823574333774, f(3.0)=190.145464892665053533
X0=2.5
 <2>  2.0 <= X1=2.5  <= 3.0
 <3>  2.0 <= X2=2.25  <= 2.5
 <4>  2.25 <= X3=2.375  <= 2.5
 <5>  2.25 <= X4=2.3125  <= 2.375
 <6>  2.25 <= X5=2.28125  <= 2.3125
 <7>  2.28125 <= X6=2.296875  <= 2.3125
 <8>  2.296875 <= X7=2.3046875  <= 2.3125
 <9>  2.3046875 <= X8=2.30859375  <= 2.3125
 <10>  2.3046875 <= X9=2.306640625  <= 2.30859375
 <11>  2.3046875 <= X10=2.3056640625  <= 2.306640625
 <12>  2.3046875 <= X11=2.30517578125  <= 2.3056640625
 <13>  2.30517578125 <= X12=2.305419921875  <= 2.3056640625
 <14>  2.30517578125 <= X13=2.3052978515625  <= 2.305419921875
 <15>  2.3052978515625 <= X14=2.30535888671875  <= 2.305419921875
 <16>  2.3052978515625 <= X15=2.305328369140625  <= 2.30535888671875
 <17>  2.305328369140625 <= X16=2.3053436279296875  <= 2.30535888671875
 <18>  2.3053436279296875 <= X17=2.3053512573242188  <= 2.30535888671875
 <19>  2.3053436279296875 <= X18=2.305347442626953  <= 2.3053512573242188
 <20>  2.3053436279296875 <= X19=2.3053455352783203  <= 2.305347442626953
 <21>  2.3053455352783203 <= X20=2.3053464889526367  <= 2.305347442626953
 <22>  2.3053464889526367 <= X21=2.305346965789795  <= 2.305347442626953
 <23>  2.3053464889526367 <= X22=2.305346727371216  <= 2.305346965789795
 <24>  2.3053464889526367 <= X23=2.3053466081619263  <= 2.305346727371216
 <25>  2.3053464889526367 <= X24=2.3053465485572815  <= 2.3053466081619263
 <26>  2.3053464889526367 <= X25=2.305346518754959  <= 2.3053465485572815
========2
[?] Enter source function, f(x) = : (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: -3
[?] Enter the right-border: -2
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(-3.0)=-183.862279585485467056, f(-2.0)=29.5926948895370198543
X0=-2.5
 <2>  -3.0 <= X1=-2.5  <= -2.0
 <3>  -2.5 <= X2=-2.25  <= -2.0
 <4>  -2.5 <= X3=-2.375  <= -2.25
 <5>  -2.375 <= X4=-2.3125  <= -2.25
 <6>  -2.375 <= X5=-2.34375  <= -2.3125
 <7>  -2.375 <= X6=-2.359375  <= -2.34375
 <8>  -2.359375 <= X7=-2.3515625  <= -2.34375
 <9>  -2.359375 <= X8=-2.35546875  <= -2.3515625
 <10>  -2.359375 <= X9=-2.357421875  <= -2.35546875
 <11>  -2.357421875 <= X10=-2.3564453125  <= -2.35546875
 <12>  -2.357421875 <= X11=-2.35693359375  <= -2.3564453125
 <13>  -2.357421875 <= X12=-2.357177734375  <= -2.35693359375
 <14>  -2.357421875 <= X13=-2.3572998046875  <= -2.357177734375
 <15>  -2.3572998046875 <= X14=-2.35723876953125  <= -2.357177734375
 <16>  -2.3572998046875 <= X15=-2.357269287109375  <= -2.35723876953125
 <17>  -2.357269287109375 <= X16=-2.3572540283203125  <= -2.35723876953125
 <18>  -2.3572540283203125 <= X17=-2.3572463989257812  <= -2.35723876953125
 <19>  -2.3572540283203125 <= X18=-2.357250213623047  <= -2.3572463989257812
 <20>  -2.357250213623047 <= X19=-2.357248306274414  <= -2.3572463989257812
 <21>  -2.357248306274414 <= X20=-2.3572473526000977  <= -2.3572463989257812
 <22>  -2.3572473526000977 <= X21=-2.3572468757629395  <= -2.3572463989257812
 <23>  -2.3572473526000977 <= X22=-2.3572471141815186  <= -2.3572468757629395
 <24>  -2.3572471141815186 <= X23=-2.357246994972229  <= -2.3572468757629395
 <25>  -2.3572471141815186 <= X24=-2.357247054576874  <= -2.357246994972229
 <26>  -2.3572471141815186 <= X25=-2.357247084379196  <= -2.357247054576874
------------------------------------------------------
X=-2.357247084379196
========3
[?] Enter source function, f(x) = : (x^3)*cosh(x)+pi-9*pi*x
[?] Enter the left-border: -1
[?] Enter the right-border: 1
You entered f(x) = x**3*cosh(x) - 9*pi*x + pi
f(-1.0)=29.8728459010826886061, f(1.0)=-23.5896605939031021292
X0=0.0
 <2>  -1.0 <= X1=0.0  <= 1.0
 <3>  0.0 <= X2=0.5  <= 1.0
 <4>  0.0 <= X3=0.25  <= 0.5
 <5>  0.0 <= X4=0.125  <= 0.25
 <6>  0.0 <= X5=0.0625  <= 0.125
 <7>  0.0625 <= X6=0.09375  <= 0.125
 <8>  0.09375 <= X7=0.109375  <= 0.125
 <9>  0.109375 <= X8=0.1171875  <= 0.125
 <10>  0.109375 <= X9=0.11328125  <= 0.1171875
 <11>  0.109375 <= X10=0.111328125  <= 0.11328125
 <12>  0.109375 <= X11=0.1103515625  <= 0.111328125
 <13>  0.1103515625 <= X12=0.11083984375  <= 0.111328125
 <14>  0.11083984375 <= X13=0.111083984375  <= 0.111328125
 <15>  0.111083984375 <= X14=0.1112060546875  <= 0.111328125
 <16>  0.111083984375 <= X15=0.11114501953125  <= 0.1112060546875
 <17>  0.11114501953125 <= X16=0.111175537109375  <= 0.1112060546875
 <18>  0.11114501953125 <= X17=0.1111602783203125  <= 0.111175537109375
 <19>  0.11114501953125 <= X18=0.11115264892578125  <= 0.1111602783203125
 <20>  0.11115264892578125 <= X19=0.11115646362304688  <= 0.1111602783203125
 <21>  0.11115646362304688 <= X20=0.11115837097167969  <= 0.1111602783203125
 <22>  0.11115837097167969 <= X21=0.1111593246459961  <= 0.1111602783203125
 <23>  0.1111593246459961 <= X22=0.1111598014831543  <= 0.1111602783203125
 <24>  0.1111598014831543 <= X23=0.1111600399017334  <= 0.1111602783203125
 <25>  0.1111598014831543 <= X24=0.11115992069244385  <= 0.1111600399017334
 <26>  0.11115992069244385 <= X25=0.11115998029708862  <= 0.1111600399017334
 <27>  0.11115998029708862 <= X26=0.11116001009941101  <= 0.1111600399017334
------------------------------------------------------
X=0.11116001009941101


#3
You entered p(x) = [18, 84, -225, -811, 565, 842, -437, -62]
1: [3.844000e+03 2.953770e+05 1.303338e+06 1.892015e+06 1.069159e+06
 2.072130e+05 1.515600e+04 3.240000e+02]
2: [1.47763360e+07 7.72275096e+10 5.89194207e+11 9.15065044e+11
 3.98316136e+11 1.17549055e+10 9.54303120e+07 1.04976000e+05]
3: [2.18340106e+14 5.94667597e+21 2.05825196e+23 3.69788516e+23
 1.37255176e+23 6.23470563e+19 6.63897853e+15 1.10199606e+10]
4: [4.76724017e+28 3.53628653e+43 3.79659865e+46 8.02431411e+46
 1.87928756e+46 2.06469525e+39 4.27019118e+31 1.21439531e+20]
5: [2.27265788e+57 1.25053224e+87 1.43574088e+93 5.01198157e+93
 3.53171841e+92 2.65798305e+78 1.82295180e+63 1.47475597e+40]
6: [5.16497386e+114 1.56383088e+174 2.06133934e+186 2.41058328e+187
 1.24730349e+185 5.77724343e+156 3.32315317e+126 2.17490517e+080]
Roots of the polynomial: [-5.26776896430057, 2.9682649309197098, -2.7715497533769837, -1.0857281392896616, 0.9623054100152396, 0.6465850064188285, -0.11765421055171511]


# 3.1
[?] Enter source function, f(x) = :  18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: -6
[?] Enter the right-border: -5
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(-6.0)=-510368.000000000000000, f(-5.0)=55048.0000000000000000
X0=-6.0
<2> X1=-5.59259699776888168687
<3> X2=-5.47887878361870820072
<4> X3=-5.41443210900678816972
<5> X4=-5.37307117864230437111
<6> X5=-5.34486576338478529898
<7> X6=-5.32493408953146560235
<8> X7=-5.31052288628114498888
<9> X8=-5.29994003730244231139
<10> X9=-5.29208331334933509901
<11> X10=-5.28620456295494378819
<12> X11=-5.28178054914980947127
<13> X12=-5.27843715440568967295
<14> X13=-5.27590242798538929816
<15> X14=-5.27397621335924463575
<16> X15=-5.27250980374644846162
<17> X16=-5.27139192641843551375
<18> X17=-5.27053886657277183762
<19> X18=-5.26988738149653076193
<20> X19=-5.26938954335198738072
<21> X20=-5.26900894298706346431
<22> X21=-5.26871787068832598592
<23> X22=-5.26849520790563447345
<24> X23=-5.26832484213244732057
<25> X24=-5.26819447013424904874
<26> X25=-5.26809469145793408227
<27> X26=-5.26801832010034948836
<28> X27=-5.26795986082896625150
<29> X28=-5.26791511018056961528
<30> X29=-5.26788085210953337647
<31> X30=-5.26785462563103607903
<32> X31=-5.26783454731014516973
<33> X32=-5.26781917558137361034
<34> X33=-5.26780740700061810719
<35> X34=-5.26779839689031728902
<36> X35=-5.26779149862850436513
<37> X36=-5.26778621719328956184
<38> X37=-5.26778217361067032559
<39> X38=-5.26777907774378763182
<40> X39=-5.26777670746486063189
<41> X40=-5.26777489271168012308
<42> X41=-5.26777350328257532642
<43> X42=-5.26777243949291447131
<44> X43=-5.26777162502204247626
<45> X44=-5.26777100143702765474
<46> X45=-5.26777052400007558928
<47> X46=-5.26777015845867145022
<48> X47=-5.26776987858807938892
<49> X48=-5.26776966430984086653
<50> X49=-5.26776950025125903862
<51> X50=-5.26776937464250631385
<52> X51=-5.26776927847222138892
------------------------------------------------------
X=-5.26776927847222138892

# 3.2
[?] Enter source function, f(x) = : 18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: -3
[?] Enter the right-border: -2
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(-3.0)=4426.00000000000000000, f(-2.0)=-3044.00000000000000000
X0=-3.0
<2> X1=-2.81852474476198286113
<3> X2=-2.78875113871449025850
<4> X3=-2.77846990287553224446
<5> X4=-2.77458800011650002270
<6> X5=-2.77307864124546560482
<7> X6=-2.77248534383962688891
<8> X7=-2.77225114729126676082
<9> X8=-2.77215854849940598151
<10> X9=-2.77212191209740851216
<11> X10=-2.77210741329837652628
<12> X11=-2.77210167483731502050
<13> X12=-2.77209940352771328937
<14> X13=-2.77209850451847140080
<15> X14=-2.77209814867851245728
<16> X15=-2.77209800783191529456
<17> X16=-2.77209795208274199596
------------------------------------------------------
X=-2.77209795208274199596

#3.3
[?] Enter source function, f(x) = : 18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: -1.5
[?] Enter the right-border: -1
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(-1.5)=-1166.70312500000000000, f(-1.0)=132.000000000000000000
X0=-1.5
<2> X1=-1.18568626295451292715
<3> X2=-1.13087977894582203991
<4> X3=-1.10790725527502858109
<5> X4=-1.09698901253848332676
<6> X5=-1.09153251607397693554
<7> X6=-1.08874108947489342968
<8> X7=-1.08729645108339759752
<9> X8=-1.08654440060791238490
<10> X9=-1.08615170733634195243
<11> X10=-1.08594633335936207369
<12> X11=-1.08583883668313516695
<13> X12=-1.08578254663185674503
<14> X13=-1.08575306400986560125
<15> X14=-1.08573762029416259253
<16> X15=-1.08572952999976584189
<17> X16=-1.08572529170743913589
<18> X17=-1.08572307133998280504
<19> X18=-1.08572190811785287200
<20> X19=-1.08572129871781170320
<21> X20=-1.08572097945865572858
<22> X21=-1.08572081220146513207
<23> X22=-1.08572072457676902414
------------------------------------------------------
X=-1.08572072457676902414

# 3.4
[?] Enter source function, f(x) = : 18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: -1
[?] Enter the right-border: 0
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(-1.0)=132.000000000000000000, f(0.0)=-62.0000000000000000000
X0=0.0
<2> X1=-0.141876430205949656751
<3> X2=-0.107505683252352551225
<4> X3=-0.121454438073803154183
<5> X4=-0.116160229787788310333
<6> X5=-0.118231094735101107653
<7> X6=-0.117429867647120916635
<8> X7=-0.117741216574184324092
<9> X8=-0.117620431443090455404
<10> X9=-0.117667319503907915332
<11> X10=-0.117649122432163230412
<12> X11=-0.117656185335950503386
<13> X12=-0.117653444086465257310
<14> X13=-0.117654508034078107765
<15> X14=-0.117654095091715080399
<16> X15=-0.117654255364431666596
<17> X16=-0.117654193158846042549
------------------------------------------------------
X=-0.117654193158846042549

#3.5
[?] Enter source function, f(x) = : 18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: 0
[?] Enter the right-border: 0.7
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(0.0)=-62.0000000000000000000, f(0.7)=17.3030433999999871624
X0=0.7
<2> X1=0.640143732998837408476
<3> X2=0.648073204334924902854
<4> X3=0.646258815850379827457
<5> X4=0.646657411225631859157
<6> X5=0.646568978704474951175
<7> X6=0.646588556521030825109
<8> X7=0.646584220185595918618
<9> X8=0.646585180549495169501
<10> X9=0.646584967853703418620
<11> X10=0.646585014960083131644
------------------------------------------------------
X=0.646585014960083131644

#3.6
[?] Enter source function, f(x) = :  18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: 0.8
[?] Enter the right-border: 1
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(0.8)=36.4413696000000031731, f(1.0)=-26.0000000000000000000
X0=1.0
<2> X1=0.967377666248431618570
<3> X2=0.963564601146352856808
<4> X3=0.962637724653525377874
<5> X4=0.962397741382291255156
<6> X5=0.962334674778818077677
<7> X6=0.962318037668257707189
<8> X7=0.962313644359158078298
<9> X8=0.962312483925230777927
<10> X9=0.962312177390712765225
<11> X10=0.962312096416569649234
------------------------------------------------------
X=0.962312096416569649234

#3.7
[?] Enter source function, f(x) = : 18*x^7 + 84*x^6 -225*x^5 -811*x^4 +565*x^3 +842*x^2 -437*x-62
[?] Enter the left-border: 2.5
[?] Enter the right-border: 3.2
You entered f(x) = 18*x**7 + 84*x**6 - 225*x**5 - 811*x**4 + 565*x**3 + 842*x**2 - 437*x - 62
f(x)'=126*x**6 + 504*x**5 - 1125*x**4 - 3244*x**3 + 1695*x**2 + 1684*x - 437
f(x)''=756*x**5 + 2520*x**4 - 4500*x**3 - 9732*x**2 + 3390*x + 1684
f(2.5)=-9222.07812500000000000, f(3.2)=17180.4566784000181988
X0=3.2
<2> X1=3.03230433766332610745
<3> X2=2.99726219607540260242
<4> X3=2.98218354196397757741
<5> X4=2.97498626192912684945
<6> X5=2.97140647336670113132
<7> X6=2.96959183982099547370
<8> X7=2.96866340386425847600
<9> X8=2.96818615871986361354
<10> X9=2.96794025587765315188
<11> X10=2.96781339867130927148
<12> X11=2.96774791405408064083
<13> X12=2.96771409947627713566
<14> X13=2.96769663557915727735
<15> X14=2.96768761538677341523
<16> X15=2.96768295620374075179
<17> X16=2.96768054954933932621
<18> X17=2.96767930640131112240
<19> X18=2.96767866425406300146
<20> X19=2.96767833255229809391
<21> X20=2.96767816121115902036
<22> X21=2.96767807270451278464
------------------------------------------------------
X=2.96767807270451278464