本次共计算 1 个题目：每一题对 x 求 15 阶导数。
    注意，变量是区分大小写的。
\[ \begin{equation}\begin{split}【1/1】求函数{(sec(x))}^{2}{(sec(tan(x)))}^{2} 关于 x 的 15 阶导数：\\\end{split}\end{equation} \]\[ \begin{equation}\begin{split}\\解:&\\ &原函数 = sec^{2}(x)sec^{2}(tan(x))\\\\ &\color{blue}{函数的 15 阶导数：} \\=&4568327061504tan(x)sec^{18}(x)sec^{4}(tan(x)) + 2908179488768tan(tan(x))sec^{20}(x)sec^{4}(tan(x)) + 206057828352tan(tan(x))sec^{18}(x)sec^{2}(tan(x)) + 7436083200tan(x)sec^{6}(tan(x))sec^{20}(x) + 11984145776640tan^{2}(x)tan(tan(x))sec^{16}(x)sec^{2}(tan(x)) + 403069059072tan^{2}(tan(x))tan(x)sec^{2}(tan(x))sec^{18}(x) + 21251218759680tan(x)sec^{20}(x)sec^{6}(tan(x)) + 638004756480tan^{2}(tan(x))tan(x)sec^{20}(x)sec^{4}(tan(x)) + 596407222272tan(tan(x))tan^{2}(x)sec^{4}(tan(x))sec^{18}(x) + 160078831616tan(x)sec^{8}(tan(x))sec^{22}(x) + 11215328796672tan(tan(x))sec^{22}(x)sec^{6}(tan(x)) + 704695123968tan(x)sec^{10}(tan(x))sec^{24}(x) + 183491469557760tan^{2}(x)tan(tan(x))sec^{18}(x)sec^{4}(tan(x)) + 10834496225280tan^{2}(tan(x))tan(x)sec^{4}(tan(x))sec^{20}(x) + 39623382261760tan(x)sec^{22}(x)sec^{8}(tan(x)) + 5855574540288tan^{2}(tan(x))tan(x)sec^{22}(x)sec^{6}(tan(x)) + 14988950462464tan(tan(x))tan^{2}(x)sec^{6}(tan(x))sec^{20}(x) + 36293165432832tan(x)sec^{24}(x)sec^{10}(tan(x)) + 18881539522560tan(tan(x))sec^{24}(x)sec^{8}(tan(x)) + 17752346460160tan^{2}(tan(x))tan(x)sec^{24}(x)sec^{8}(tan(x)) + 75302891372544tan(tan(x))tan^{2}(x)sec^{8}(tan(x))sec^{22}(x) + 78883311845376tan^{3}(x)sec^{16}(x)sec^{4}(tan(x)) + 696805719670784tan^{2}(x)tan(tan(x))sec^{20}(x)sec^{6}(tan(x)) + 60238842200064tan^{2}(tan(x))tan(x)sec^{6}(tan(x))sec^{22}(x) + 1148778160128tan(x)sec^{12}(tan(x))sec^{26}(x) + 1041398509813760tan^{2}(x)tan(tan(x))sec^{22}(x)sec^{8}(tan(x)) + 129320363196416tan^{2}(tan(x))tan(x)sec^{8}(tan(x))sec^{24}(x) + 355242369024tan^{3}(x)sec^{6}(tan(x))sec^{18}(x) + 8657613717504tan(x)tan^{2}(tan(x))sec^{18}(x)sec^{2}(tan(x)) + 17074147713024tan(x)sec^{26}(x)sec^{12}(tan(x)) + 79645315637248tan^{4}(x)tan(tan(x))sec^{14}(x)sec^{2}(tan(x)) + 9286810968064tan^{2}(tan(x))tan^{3}(x)sec^{2}(tan(x))sec^{16}(x) + 103819157012480tan(x)tan^{2}(tan(x))sec^{20}(x)sec^{4}(tan(x)) + 626687041536tan^{3}(tan(x))tan^{2}(x)sec^{18}(x)sec^{2}(tan(x)) + 384794238099456tan^{3}(x)sec^{18}(x)sec^{6}(tan(x)) + 16382771159040tan(tan(x))sec^{26}(x)sec^{10}(tan(x)) + 23617062420480tan^{2}(tan(x))tan(x)sec^{26}(x)sec^{10}(tan(x)) + 138302438522880tan(tan(x))tan^{2}(x)sec^{10}(tan(x))sec^{24}(x) + 1392839884800tan^{3}(tan(x))sec^{20}(x)sec^{2}(tan(x)) + 2487004119040tan^{4}(tan(x))tan(x)sec^{2}(tan(x))sec^{20}(x) + 19942933069824tan^{2}(tan(x))tan^{3}(x)sec^{18}(x)sec^{4}(tan(x)) + 201722273251328tan^{3}(tan(x))tan^{2}(x)sec^{4}(tan(x))sec^{20}(x) + 15702467895296tan^{3}(tan(x))sec^{22}(x)sec^{4}(tan(x)) + 10662117801984tan^{4}(tan(x))tan(x)sec^{22}(x)sec^{4}(tan(x)) + 802209464320tan(x)sec^{14}(tan(x))sec^{28}(x) + 7718986432512tan^{3}(x)sec^{8}(tan(x))sec^{20}(x) + 7210828791808tan(tan(x))tan^{4}(x)sec^{4}(tan(x))sec^{16}(x) + 31939511795712tan^{3}(x)sec^{10}(tan(x))sec^{22}(x) + 7674334560256tan(tan(x))sec^{28}(x)sec^{12}(tan(x)) + 347155284123648tan(x)tan^{2}(tan(x))sec^{22}(x)sec^{6}(tan(x)) + 148048988798976tan^{3}(x)tan^{2}(tan(x))sec^{16}(x)sec^{2}(tan(x)) + 9197127868416tan^{3}(tan(x))tan^{2}(x)sec^{2}(tan(x))sec^{18}(x) + 685291441373184tan^{3}(x)sec^{20}(x)sec^{8}(tan(x)) + 86959328919552tan^{2}(x)tan^{3}(tan(x))sec^{18}(x)sec^{2}(tan(x)) + 531526138380288tan^{3}(x)sec^{22}(x)sec^{10}(tan(x)) + 693017659514880tan^{2}(x)tan(tan(x))sec^{24}(x)sec^{10}(tan(x)) + 130699793809408tan^{2}(tan(x))tan(x)sec^{10}(tan(x))sec^{26}(x) + 3757335838720tan(x)sec^{28}(x)sec^{14}(tan(x)) + 274222666874880tan^{5}(x)sec^{14}(x)sec^{4}(tan(x)) + 1340935654473728tan^{4}(x)tan(tan(x))sec^{16}(x)sec^{4}(tan(x)) + 267171252510720tan^{2}(tan(x))tan^{3}(x)sec^{4}(tan(x))sec^{18}(x) + 478004816019456tan(x)tan^{2}(tan(x))sec^{24}(x)sec^{8}(tan(x)) + 29761886011392tan^{3}(tan(x))tan^{2}(x)sec^{20}(x)sec^{4}(tan(x)) + 49795495157760tan^{4}(tan(x))tan(x)sec^{4}(tan(x))sec^{22}(x) + 1827074112970752tan^{3}(x)tan^{2}(tan(x))sec^{18}(x)sec^{4}(tan(x)) + 208070098944tan(x)sec^{16}(tan(x))sec^{30}(x) + 14602360258560tan^{2}(tan(x))tan(x)sec^{28}(x)sec^{12}(tan(x)) + 108071483768832tan(tan(x))tan^{2}(x)sec^{12}(tan(x))sec^{26}(x) + 51707462197248tan^{3}(tan(x))sec^{24}(x)sec^{6}(tan(x)) + 193007389704192tan^{2}(tan(x))tan^{3}(x)sec^{20}(x)sec^{6}(tan(x)) + 946202976190464tan^{3}(tan(x))tan^{2}(x)sec^{6}(tan(x))sec^{22}(x) + 65502438653952tan^{4}(tan(x))tan(x)sec^{24}(x)sec^{6}(tan(x)) + 43727867043840tan^{3}(x)sec^{12}(tan(x))sec^{24}(x) + 946855401586688tan^{2}(x)tan^{3}(tan(x))sec^{20}(x)sec^{4}(tan(x)) + 3031337435136tan^{5}(x)sec^{6}(tan(x))sec^{16}(x) + 189885504438272tan(tan(x))tan^{4}(x)sec^{6}(tan(x))sec^{18}(x) + 211177255108608tan^{3}(tan(x))tan^{2}(x)sec^{22}(x)sec^{6}(tan(x)) + 1475157284438016tan^{2}(tan(x))tan^{3}(x)sec^{6}(tan(x))sec^{20}(x) + 1847236608000tan(tan(x))sec^{30}(x)sec^{14}(tan(x)) + 573991619002368tan^{2}(tan(x))tan^{3}(x)sec^{22}(x)sec^{8}(tan(x)) + 1642236491464704tan^{3}(tan(x))tan^{2}(x)sec^{8}(tan(x))sec^{24}(x) + 73361373003776tan^{3}(tan(x))sec^{26}(x)sec^{8}(tan(x)) + 133829877694464tan^{4}(tan(x))tan(x)sec^{26}(x)sec^{8}(tan(x)) + 167331692322816tan^{3}(x)sec^{24}(x)sec^{12}(tan(x)) + 18101432565760tan(x)tan^{4}(tan(x))sec^{20}(x)sec^{2}(tan(x)) + 1401730612690944tan^{5}(x)sec^{16}(x)sec^{6}(tan(x)) + 300256905084928tan(x)tan^{2}(tan(x))sec^{26}(x)sec^{10}(tan(x)) + 917771152932864tan(tan(x))tan^{4}(x)sec^{8}(tan(x))sec^{20}(x) + 19598114406400tan^{3}(x)sec^{14}(tan(x))sec^{26}(x) + 65372066390016tan^{5}(x)sec^{8}(tan(x))sec^{18}(x) + 63663083028480tan^{2}(tan(x))tan(x)sec^{12}(tan(x))sec^{28}(x) + 238326866436096tan^{5}(x)sec^{10}(tan(x))sec^{20}(x) + 4957617133109248tan^{4}(x)tan(tan(x))sec^{18}(x)sec^{6}(tan(x)) + 216950621011968tan^{4}(tan(x))tan(x)sec^{6}(tan(x))sec^{24}(x) + 2277191608197120tan^{5}(x)sec^{18}(x)sec^{8}(tan(x)) + 1271917957423104tan^{5}(x)sec^{20}(x)sec^{10}(tan(x)) + 199012905558016tan(x)tan^{4}(tan(x))sec^{22}(x)sec^{4}(tan(x)) + 278585687408640tan^{7}(x)sec^{12}(x)sec^{4}(tan(x)) + 6270230441263104tan^{4}(x)tan(tan(x))sec^{20}(x)sec^{8}(tan(x)) + 2901310314430464tan^{2}(tan(x))tan^{3}(x)sec^{8}(tan(x))sec^{22}(x) + 484975438528512tan^{3}(tan(x))tan^{2}(x)sec^{24}(x)sec^{8}(tan(x)) + 350732242763776tan^{4}(tan(x))tan(x)sec^{8}(tan(x))sec^{26}(x) + 248831655936tan(x)sec^{30}(x)sec^{16}(tan(x)) + 283803484160tan^{4}(tan(x))tan(x)sec^{20}(x)sec^{2}(tan(x)) + 219311969329152tan^{5}(x)sec^{12}(tan(x))sec^{22}(x) + 188727567400960tan^{2}(x)tan(tan(x))sec^{26}(x)sec^{12}(tan(x)) + 1476809677406208tan^{7}(x)sec^{14}(x)sec^{6}(tan(x)) + 9472319619072tan^{7}(x)sec^{6}(tan(x))sec^{14}(x) + 134041864470528tan^{6}(x)tan(tan(x))sec^{12}(x)sec^{2}(tan(x)) + 39650358214656tan^{2}(tan(x))tan^{5}(x)sec^{2}(tan(x))sec^{14}(x) + 7200359890944tan^{3}(tan(x))tan^{4}(x)sec^{16}(x)sec^{2}(tan(x)) + 5651108843077632tan^{3}(x)tan^{2}(tan(x))sec^{20}(x)sec^{6}(tan(x)) + 59973675909120tan^{4}(tan(x))tan^{3}(x)sec^{2}(tan(x))sec^{18}(x) + 2680652867616768tan^{2}(x)tan^{3}(tan(x))sec^{22}(x)sec^{6}(tan(x)) + 3344283369472tan^{5}(tan(x))tan^{2}(x)sec^{20}(x)sec^{2}(tan(x)) + 10038930063360tan^{3}(x)sec^{26}(x)sec^{14}(tan(x)) + 192691568525312tan^{7}(x)sec^{8}(tan(x))sec^{16}(x) + 3504989544448tan^{2}(tan(x))tan(x)sec^{30}(x)sec^{14}(tan(x)) + 31292703571968tan(tan(x))tan^{2}(x)sec^{14}(tan(x))sec^{28}(x) + 50711349624832tan^{3}(tan(x))sec^{28}(x)sec^{10}(tan(x)) + 663896579481600tan^{2}(tan(x))tan^{3}(x)sec^{24}(x)sec^{10}(tan(x)) + 1203134102380544tan^{3}(tan(x))tan^{2}(x)sec^{10}(tan(x))sec^{26}(x) + 108877789593600tan^{4}(tan(x))tan(x)sec^{28}(x)sec^{10}(tan(x)) + 1926380793217024tan^{7}(x)sec^{16}(x)sec^{8}(tan(x)) + 79193182371840tan(x)tan^{2}(tan(x))sec^{28}(x)sec^{12}(tan(x)) + 509115310325760tan^{7}(x)sec^{10}(tan(x))sec^{18}(x) + 1438654661419008tan(tan(x))tan^{4}(x)sec^{10}(tan(x))sec^{22}(x) + 16849200537600tan^{3}(tan(x))sec^{30}(x)sec^{12}(tan(x)) + 1178804363264tan^{5}(tan(x))sec^{22}(x)sec^{2}(tan(x)) + 1827761438720tan^{6}(tan(x))tan(x)sec^{2}(tan(x))sec^{22}(x) + 6238444329320448tan^{3}(x)tan^{2}(tan(x))sec^{22}(x)sec^{8}(tan(x)) + 124354648014848tan^{2}(tan(x))tan^{5}(x)sec^{16}(x)sec^{4}(tan(x)) + 1843821529300992tan^{3}(tan(x))tan^{4}(x)sec^{4}(tan(x))sec^{18}(x) + 311883803295744tan^{4}(tan(x))tan^{3}(x)sec^{20}(x)sec^{4}(tan(x)) + 2758513347330048tan^{2}(x)tan^{3}(tan(x))sec^{24}(x)sec^{8}(tan(x)) + 329069153583104tan^{5}(tan(x))tan^{2}(x)sec^{4}(tan(x))sec^{22}(x) + 12276306206720tan^{2}(tan(x))tan(x)sec^{14}(tan(x))sec^{30}(x) + 442013232783360tan^{3}(tan(x))tan^{2}(x)sec^{26}(x)sec^{10}(tan(x)) + 2384591102894080tan^{2}(tan(x))tan^{3}(x)sec^{10}(tan(x))sec^{24}(x) + 15199012438016tan^{5}(tan(x))sec^{24}(x)sec^{4}(tan(x)) + 15439457812480tan^{6}(tan(x))tan(x)sec^{24}(x)sec^{4}(tan(x)) + 108292720435200tan^{5}(x)sec^{22}(x)sec^{12}(tan(x)) + 47609907806208tan^{5}(tan(x))sec^{26}(x)sec^{6}(tan(x)) + 88236944916480tan^{9}(x)sec^{10}(x)sec^{4}(tan(x)) + 554683911733248tan(x)tan^{4}(tan(x))sec^{24}(x)sec^{6}(tan(x)) + 461060596580352tan^{9}(x)sec^{12}(x)sec^{6}(tan(x)) + 324643897098240tan^{7}(x)sec^{18}(x)sec^{10}(tan(x)) + 24229231132672tan(tan(x))tan^{6}(x)sec^{4}(tan(x))sec^{14}(x) + 220243338805248tan^{9}(x)sec^{8}(tan(x))sec^{14}(x) + 507029452881920tan^{5}(x)tan^{2}(tan(x))sec^{14}(x)sec^{2}(tan(x)) + 83671089528832tan^{3}(tan(x))tan^{4}(x)sec^{2}(tan(x))sec^{16}(x) + 8482414018560tan^{4}(tan(x))tan^{3}(x)sec^{18}(x)sec^{2}(tan(x)) + 17049325764608tan^{5}(tan(x))tan^{2}(x)sec^{2}(tan(x))sec^{20}(x) + 13515108630528tan^{9}(x)sec^{6}(tan(x))sec^{12}(x) + 567757357268992tan(x)tan^{4}(tan(x))sec^{26}(x)sec^{8}(tan(x)) + 628252916023296tan^{4}(x)tan^{3}(tan(x))sec^{16}(x)sec^{2}(tan(x)) + 236804760158208tan^{9}(x)sec^{14}(x)sec^{8}(tan(x)) + 315728380231680tan^{3}(x)tan^{4}(tan(x))sec^{18}(x)sec^{2}(tan(x)) + 70175200116736tan^{2}(x)tan^{5}(tan(x))sec^{20}(x)sec^{2}(tan(x)) + 9046436904960tan^{11}(x)sec^{6}(tan(x))sec^{10}(x) + 237977149808640tan^{4}(tan(x))tan(x)sec^{10}(tan(x))sec^{28}(x) + 7683698589696tan^{11}(x)sec^{8}(x)sec^{4}(tan(x)) + 2740561145720832tan^{4}(x)tan(tan(x))sec^{22}(x)sec^{10}(tan(x)) + 26873535037440tan^{11}(x)sec^{10}(x)sec^{6}(tan(x)) + 2339303468761088tan^{3}(x)tan^{2}(tan(x))sec^{24}(x)sec^{10}(tan(x)) + 983894557048832tan^{2}(x)tan^{3}(tan(x))sec^{26}(x)sec^{10}(tan(x)) + 117009383424tan^{13}(x)sec^{6}(x)sec^{4}(tan(x)) + 2511833186861056tan^{6}(x)tan(tan(x))sec^{14}(x)sec^{4}(tan(x)) + 1226334681350144tan^{2}(tan(x))tan^{5}(x)sec^{4}(tan(x))sec^{16}(x) + 353038602108928tan^{3}(tan(x))tan^{4}(x)sec^{18}(x)sec^{4}(tan(x)) + 1153044676362240tan^{4}(tan(x))tan^{3}(x)sec^{4}(tan(x))sec^{20}(x) + 110972567191552tan^{5}(tan(x))tan^{2}(x)sec^{22}(x)sec^{4}(tan(x)) + 268511109906432tan^{2}(tan(x))tan^{3}(x)sec^{26}(x)sec^{12}(tan(x)) + 730995281362944tan(tan(x))tan^{4}(x)sec^{12}(tan(x))sec^{24}(x) + 39277096468480tan^{6}(tan(x))tan(x)sec^{4}(tan(x))sec^{24}(x) + 6367340958466048tan^{5}(x)tan^{2}(tan(x))sec^{16}(x)sec^{4}(tan(x)) + 142602385489920tan^{3}(tan(x))tan^{2}(x)sec^{28}(x)sec^{12}(tan(x)) + 718278331662336tan^{2}(tan(x))tan^{3}(x)sec^{12}(tan(x))sec^{26}(x) + 6545284207198208tan^{4}(x)tan^{3}(tan(x))sec^{18}(x)sec^{4}(tan(x)) + 30966501703680tan^{4}(tan(x))tan(x)sec^{30}(x)sec^{12}(tan(x)) + 319999491637248tan^{3}(tan(x))tan^{2}(x)sec^{12}(tan(x))sec^{28}(x) + 57615210987520tan^{5}(tan(x))sec^{28}(x)sec^{8}(tan(x)) + 6807227727872tan(x)tan^{6}(tan(x))sec^{22}(x)sec^{2}(tan(x)) + 212899597312000tan(x)tan^{4}(tan(x))sec^{28}(x)sec^{10}(tan(x)) + 3165814937960448tan^{3}(x)tan^{4}(tan(x))sec^{20}(x)sec^{4}(tan(x)) + 757226106126336tan^{2}(x)tan^{5}(tan(x))sec^{22}(x)sec^{4}(tan(x)) + 1240426503659520tan^{2}(tan(x))tan^{5}(x)sec^{18}(x)sec^{6}(tan(x)) + 7933177218318336tan^{3}(tan(x))tan^{4}(x)sec^{6}(tan(x))sec^{20}(x) + 1742786092302336tan^{4}(tan(x))tan^{3}(x)sec^{22}(x)sec^{6}(tan(x)) + 1228148245757952tan^{5}(tan(x))tan^{2}(x)sec^{6}(tan(x))sec^{24}(x) + 663358279360512tan(tan(x))tan^{6}(x)sec^{6}(tan(x))sec^{16}(x) + 179405225984tan(tan(x))sec^{32}(x)sec^{16}(tan(x)) + 77307274616832tan^{6}(tan(x))tan(x)sec^{26}(x)sec^{6}(tan(x)) + 2356934097125376tan^{3}(tan(x))tan^{4}(x)sec^{20}(x)sec^{6}(tan(x)) + 6499237494841344tan^{2}(tan(x))tan^{5}(x)sec^{6}(tan(x))sec^{18}(x) + 57970746408960tan^{4}(tan(x))tan(x)sec^{12}(tan(x))sec^{30}(x) + 567959065657344tan^{5}(tan(x))tan^{2}(x)sec^{24}(x)sec^{6}(tan(x)) + 4452723966689280tan^{4}(tan(x))tan^{3}(x)sec^{6}(tan(x))sec^{22}(x) + 3327125119893504tan^{2}(tan(x))tan^{5}(x)sec^{20}(x)sec^{8}(tan(x)) + 11140378393804800tan^{3}(tan(x))tan^{4}(x)sec^{8}(tan(x))sec^{22}(x) + 2885010253938688tan^{4}(tan(x))tan^{3}(x)sec^{24}(x)sec^{8}(tan(x)) + 1486882766020608tan^{5}(tan(x))tan^{2}(x)sec^{8}(tan(x))sec^{26}(x) + 29535586304000tan^{5}(tan(x))sec^{30}(x)sec^{10}(tan(x)) + 86987932106752tan(x)tan^{6}(tan(x))sec^{24}(x)sec^{4}(tan(x)) + 112344938643456tan^{6}(tan(x))tan(x)sec^{28}(x)sec^{8}(tan(x)) + 452564353024tan^{6}(tan(x))tan(x)sec^{22}(x)sec^{2}(tan(x)) + 2917480532631552tan(tan(x))tan^{6}(x)sec^{8}(tan(x))sec^{18}(x) + 17031465079898112tan^{5}(x)tan^{2}(tan(x))sec^{18}(x)sec^{6}(tan(x)) + 148695609434112tan^{6}(tan(x))tan(x)sec^{6}(tan(x))sec^{26}(x) + 15261662028496896tan^{4}(x)tan^{3}(tan(x))sec^{20}(x)sec^{6}(tan(x)) + 8592273202003968tan^{6}(x)tan(tan(x))sec^{16}(x)sec^{6}(tan(x)) + 6944536112431104tan^{3}(x)tan^{4}(tan(x))sec^{22}(x)sec^{6}(tan(x)) + 5079278641152tan(x)tan^{2}(tan(x))sec^{30}(x)sec^{14}(tan(x)) + 1658438390218752tan^{2}(x)tan^{5}(tan(x))sec^{24}(x)sec^{6}(tan(x)) + 7612586365394944tan^{6}(x)tan(tan(x))sec^{18}(x)sec^{8}(tan(x)) + 10670883069739008tan^{2}(tan(x))tan^{5}(x)sec^{8}(tan(x))sec^{20}(x) + 4475424168443904tan^{3}(tan(x))tan^{4}(x)sec^{22}(x)sec^{8}(tan(x)) + 5626384077275136tan^{4}(tan(x))tan^{3}(x)sec^{8}(tan(x))sec^{24}(x) + 857848994725888tan^{5}(tan(x))tan^{2}(x)sec^{26}(x)sec^{8}(tan(x)) + 10970645250048tan^{2}(x)tan(tan(x))sec^{28}(x)sec^{14}(tan(x)) + 177278838112256tan^{6}(tan(x))tan(x)sec^{8}(tan(x))sec^{28}(x) + 12075211747442688tan^{5}(x)tan^{2}(tan(x))sec^{20}(x)sec^{8}(tan(x)) + 9597747159957504tan^{4}(x)tan^{3}(tan(x))sec^{22}(x)sec^{8}(tan(x)) + 4107181247971328tan^{3}(x)tan^{4}(tan(x))sec^{24}(x)sec^{8}(tan(x)) + 67815065395200tan^{8}(x)tan(tan(x))sec^{10}(x)sec^{2}(tan(x)) + 52354246557696tan^{2}(tan(x))tan^{7}(x)sec^{2}(tan(x))sec^{12}(x) + 203216919060480tan(x)tan^{6}(tan(x))sec^{26}(x)sec^{6}(tan(x)) + 23731066822656tan^{3}(tan(x))tan^{6}(x)sec^{14}(x)sec^{2}(tan(x)) + 975626662649856tan^{2}(x)tan^{5}(tan(x))sec^{26}(x)sec^{8}(tan(x)) + 267464141537280tan^{4}(tan(x))tan^{5}(x)sec^{2}(tan(x))sec^{16}(x) + 38388706320384tan^{5}(tan(x))tan^{4}(x)sec^{18}(x)sec^{2}(tan(x)) + 41876819902464tan^{6}(tan(x))tan^{3}(x)sec^{2}(tan(x))sec^{20}(x) + 2017782423552tan^{7}(tan(x))tan^{2}(x)sec^{22}(x)sec^{2}(tan(x)) + 2571482840760320tan^{2}(tan(x))tan^{5}(x)sec^{22}(x)sec^{10}(tan(x)) + 3159032999673856tan(tan(x))tan^{6}(x)sec^{10}(tan(x))sec^{20}(x) + 501591204102144tan^{7}(x)tan^{2}(tan(x))sec^{12}(x)sec^{2}(tan(x)) + 201097692553216tan^{3}(tan(x))tan^{6}(x)sec^{2}(tan(x))sec^{14}(x) + 2556704202833920tan^{3}(tan(x))tan^{4}(x)sec^{24}(x)sec^{10}(tan(x)) + 5530643221004288tan^{2}(tan(x))tan^{5}(x)sec^{10}(tan(x))sec^{22}(x) + 1439838602444800tan^{4}(tan(x))tan^{3}(x)sec^{26}(x)sec^{10}(tan(x)) + 4972406268755968tan^{3}(tan(x))tan^{4}(x)sec^{10}(tan(x))sec^{24}(x) + 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32797687283712tan^{4}(x)tan^{5}(tan(x))sec^{8}(tan(x))sec^{24}(x) + 17203856588800tan^{5}(tan(x))sec^{10}(tan(x))sec^{30}(x) + 17899270963200tan^{3}(x)tan^{2}(tan(x))sec^{10}(tan(x))sec^{24}(x) + 633523404800tan^{2}(x)tan^{5}(tan(x))sec^{2}(tan(x))sec^{20}(x) + 4128768tan^{13}(tan(x))sec^{2}(tan(x))sec^{30}(x) + 3440640tan^{14}(tan(x))tan(x)sec^{30}(x)sec^{2}(tan(x)) + 42390208512tan^{11}(tan(x))sec^{6}(tan(x))sec^{32}(x) + 238518272tan^{13}(tan(x))sec^{32}(x)sec^{4}(tan(x)) + 1787166720tan(x)tan^{12}(tan(x))sec^{4}(tan(x))sec^{30}(x) + 298090496tan^{13}(tan(x))sec^{4}(tan(x))sec^{32}(x) + 14585561088tan^{2}(x)tan^{11}(tan(x))sec^{4}(tan(x))sec^{28}(x) + 578667199266816tan^{4}(x)tan(tan(x))sec^{6}(tan(x))sec^{18}(x) + 383904645120tan^{4}(x)tan^{9}(tan(x))sec^{4}(tan(x))sec^{24}(x) + 4655502458880tan(x)tan^{2}(tan(x))sec^{12}(tan(x))sec^{28}(x) + 41388937592832tan^{2}(x)tan(tan(x))sec^{12}(tan(x))sec^{26}(x) + 4554752000000tan^{6}(x)tan^{7}(tan(x))sec^{4}(tan(x))sec^{20}(x) + 9457261805568tan^{7}(tan(x))sec^{8}(tan(x))sec^{30}(x) + 18141941858304tan^{8}(x)tan^{5}(tan(x))sec^{4}(tan(x))sec^{16}(x) + 83745046528tan^{7}(tan(x))sec^{2}(tan(x))sec^{24}(x) + 39153878433792tan^{2}(x)tan^{5}(tan(x))sec^{6}(tan(x))sec^{24}(x) + 91817818619904tan^{4}(x)tan(tan(x))sec^{4}(tan(x))sec^{16}(x) + 17819813806080tan^{3}(tan(x))sec^{10}(tan(x))sec^{28}(x) + 73919692800000tan^{5}(x)tan^{4}(tan(x))sec^{6}(tan(x))sec^{20}(x) + 9046597632tan^{2}(tan(x))tan(x)sec^{18}(x)sec^{2}(tan(x)) + 251778007040tan^{2}(x)tan(tan(x))sec^{2}(tan(x))sec^{16}(x) + 29166448852992tan^{5}(tan(x))sec^{8}(tan(x))sec^{28}(x) + 61784933793792tan^{4}(x)tan^{3}(tan(x))sec^{8}(tan(x))sec^{22}(x) + 13869489586176tan^{10}(x)tan^{3}(tan(x))sec^{4}(tan(x))sec^{12}(x) + 24912592732160tan(x)tan^{4}(tan(x))sec^{10}(tan(x))sec^{28}(x) + 20687421440000tan^{4}(x)tan^{5}(tan(x))sec^{4}(tan(x))sec^{20}(x) + 965010309120tan^{3}(x)tan^{4}(tan(x))sec^{2}(tan(x))sec^{18}(x) + 5436204318720tan^{2}(x)tan^{3}(tan(x))sec^{12}(tan(x))sec^{28}(x) + 1706167369728tan^{8}(x)tan^{3}(tan(x))sec^{2}(tan(x))sec^{12}(x) + 46832910336tan(x)tan^{8}(tan(x))sec^{2}(tan(x))sec^{24}(x) + 46661632000000tan^{6}(x)tan^{3}(tan(x))sec^{8}(tan(x))sec^{20}(x) + 1971880779776tan^{4}(x)tan(tan(x))sec^{2}(tan(x))sec^{14}(x) + 45849348931584tan^{5}(x)tan^{4}(tan(x))sec^{8}(tan(x))sec^{22}(x) + 63425157439488tan^{2}(x)tan(tan(x))sec^{6}(tan(x))sec^{20}(x) + 3200000000000tan^{11}(x)tan^{2}(tan(x))sec^{4}(tan(x))sec^{10}(x) + 32768tan^{15}(x)sec^{2}(x)sec^{2}(tan(x)) + 3020826771456tan^{3}(x)tan^{8}(tan(x))sec^{6}(tan(x))sec^{26}(x) + 253379698688tan^{2}(tan(x))tan^{3}(x)sec^{16}(x)sec^{2}(tan(x)) + 1037115850752tan^{5}(x)tan^{6}(tan(x))sec^{2}(tan(x))sec^{18}(x) + 28756591902720tan^{3}(x)tan^{2}(tan(x))sec^{8}(tan(x))sec^{22}(x) + 2149118451712tan^{7}(tan(x))sec^{4}(tan(x))sec^{26}(x) + 11454343938048tan^{2}(x)tan^{5}(tan(x))sec^{4}(tan(x))sec^{22}(x) + 1630943641600tan(x)tan^{2}(tan(x))sec^{4}(tan(x))sec^{20}(x) + 52242776064tan^{13}(x)tan^{2}(tan(x))sec^{6}(x)sec^{2}(tan(x)) + 55026155520000tan^{4}(x)tan^{3}(tan(x))sec^{6}(tan(x))sec^{20}(x) + 3822305869824tan^{3}(x)tan^{2}(tan(x))sec^{12}(tan(x))sec^{26}(x) + 3964951560192tan(x)tan^{8}(tan(x))sec^{6}(tan(x))sec^{28}(x) + 31817117728768tan^{7}(x)tan^{4}(tan(x))sec^{4}(tan(x))sec^{16}(x) + 22314319347712tan(x)tan^{6}(tan(x))sec^{8}(tan(x))sec^{28}(x) + 16502980608000tan^{3}(x)tan^{4}(tan(x))sec^{4}(tan(x))sec^{20}(x) + 1600000000000tan^{11}(x)tan^{4}(tan(x))sec^{10}(x)sec^{2}(tan(x)) + 11861211168768tan^{2}(x)tan^{7}(tan(x))sec^{6}(tan(x))sec^{26}(x) + 3502385233920tan^{5}(tan(x))sec^{12}(tan(x))sec^{32}(x) + 1865894854656tan^{5}(x)tan^{4}(tan(x))sec^{2}(tan(x))sec^{16}(x) + 43975993982976tan^{2}(x)tan^{3}(tan(x))sec^{8}(tan(x))sec^{24}(x) + 238439292928tan^{5}(tan(x))sec^{2}(tan(x))sec^{22}(x) + 1322306994176tan^{9}(x)tan^{6}(tan(x))sec^{14}(x)sec^{2}(tan(x)) + 318241095680tan^{9}(tan(x))sec^{4}(tan(x))sec^{28}(x) + 28593336877056tan^{3}(x)tan^{6}(tan(x))sec^{6}(tan(x))sec^{24}(x) + 129935802368tan^{3}(tan(x))sec^{2}(tan(x))sec^{20}(x) + 196810104832tan^{2}(x)tan^{7}(tan(x))sec^{2}(tan(x))sec^{22}(x) + 21040671522816tan^{5}(x)tan^{6}(tan(x))sec^{6}(tan(x))sec^{22}(x) + 156728328192tan^{7}(x)tan^{8}(tan(x))sec^{18}(x)sec^{2}(tan(x)) + 5277319168tan^{5}(x)tan^{10}(tan(x))sec^{22}(x)sec^{2}(tan(x)) + 71991296tan^{3}(x)tan^{12}(tan(x))sec^{26}(x)sec^{2}(tan(x)) + 3807514624tan(tan(x))sec^{2}(tan(x))sec^{18}(x) + 491520tan(x)tan^{14}(tan(x))sec^{30}(x)sec^{2}(tan(x)) + 32768tan^{15}(tan(x))sec^{2}(tan(x))sec^{32}(x) + 6422528tan^{2}(x)tan^{13}(tan(x))sec^{2}(tan(x))sec^{28}(x) + 679477248tan^{4}(x)tan^{11}(tan(x))sec^{2}(tan(x))sec^{24}(x) + 32768000000tan^{6}(x)tan^{9}(tan(x))sec^{2}(tan(x))sec^{20}(x) + 313327616tan^{11}(tan(x))sec^{2}(tan(x))sec^{28}(x) + 13670591692800tan^{2}(x)tan^{5}(tan(x))sec^{10}(tan(x))sec^{28}(x) + 15527176519680tan^{4}(x)tan^{3}(tan(x))sec^{4}(tan(x))sec^{18}(x) + 7290763673600tan^{2}(x)tan^{3}(tan(x))sec^{4}(tan(x))sec^{20}(x) + 137371885568tan(tan(x))sec^{4}(tan(x))sec^{20}(x) + 5069785006080tan(x)tan^{4}(tan(x))sec^{12}(tan(x))sec^{30}(x) + 24412594110464tan^{6}(x)tan^{3}(tan(x))sec^{4}(tan(x))sec^{16}(x) + 875018059776tan^{2}(x)tan^{9}(tan(x))sec^{6}(tan(x))sec^{28}(x) + 30460116992tan(tan(x))sec^{16}(tan(x))sec^{32}(x) + 7986946007040tan(x)tan^{2}(tan(x))sec^{6}(tan(x))sec^{22}(x) + 5684872134656tan^{4}(x)tan^{7}(tan(x))sec^{4}(tan(x))sec^{22}(x) + 20366941151232tan(x)tan^{6}(tan(x))sec^{6}(tan(x))sec^{26}(x) + 3162021478400tan^{7}(tan(x))sec^{10}(tan(x))sec^{32}(x) + 549755813888tan^{8}(x)tan^{7}(tan(x))sec^{2}(tan(x))sec^{16}(x) + 284971581440tan(tan(x))sec^{14}(tan(x))sec^{30}(x) + 5690216153088tan(x)tan^{6}(tan(x))sec^{4}(tan(x))sec^{24}(x) + 50074700857344tan^{7}(x)tan^{4}(tan(x))sec^{6}(tan(x))sec^{18}(x) + 768108167168tan^{9}(tan(x))sec^{8}(tan(x))sec^{32}(x) + 16779313152tan^{2}(x)tan^{9}(tan(x))sec^{2}(tan(x))sec^{24}(x) + 831242280960tan(tan(x))sec^{6}(tan(x))sec^{22}(x) + 66924748800tan(x)tan^{2}(tan(x))sec^{2}(tan(x))sec^{18}(x) + 12154664304640tan(x)tan^{2}(tan(x))sec^{10}(tan(x))sec^{26}(x) + 16877043712tan^{11}(tan(x))sec^{4}(tan(x))sec^{30}(x) + 363482972160tan^{5}(x)tan^{2}(tan(x))sec^{2}(tan(x))sec^{14}(x) + 1053937876992tan(tan(x))sec^{12}(tan(x))sec^{28}(x) + 1279071059968tan(x)tan^{8}(tan(x))sec^{4}(tan(x))sec^{26}(x) + 6689470095360tan^{3}(tan(x))sec^{12}(tan(x))sec^{30}(x) + 4133844025344tan^{3}(x)tan^{2}(tan(x))sec^{4}(tan(x))sec^{18}(x) + 29877847769088tan^{2}(x)tan^{3}(tan(x))sec^{6}(tan(x))sec^{22}(x) + 4859875508224tan^{5}(tan(x))sec^{4}(tan(x))sec^{24}(x) + 1981355655168tan^{10}(x)tan^{5}(tan(x))sec^{2}(tan(x))sec^{12}(x) + 1845978021888tan(tan(x))sec^{8}(tan(x))sec^{24}(x) + 7288399872000tan(x)tan^{6}(tan(x))sec^{10}(tan(x))sec^{30}(x) + 2070174236672tan^{6}(x)tan^{5}(tan(x))sec^{2}(tan(x))sec^{16}(x) + 273260855296tan(x)tan^{6}(tan(x))sec^{2}(tan(x))sec^{22}(x) + 14143215370240tan^{5}(x)tan^{2}(tan(x))sec^{10}(tan(x))sec^{22}(x) + 42107083259904tan^{2}(x)tan^{5}(tan(x))sec^{8}(tan(x))sec^{26}(x) + 9248364822528tan^{4}(x)tan^{7}(tan(x))sec^{6}(tan(x))sec^{24}(x) + 453085528064tan^{2}(x)tan^{9}(tan(x))sec^{4}(tan(x))sec^{26}(x) + 1943767654400tan(tan(x))sec^{10}(tan(x))sec^{26}(x) + 29329053253632tan(x)tan^{4}(tan(x))sec^{6}(tan(x))sec^{24}(x) + 549755813888tan^{12}(x)tan^{3}(tan(x))sec^{2}(tan(x))sec^{8}(x)\\ \end{split}\end{equation} \]

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