02-导数求导法则
==⚠ Switch to EXCALIDRAW VIEW in the MORE OPTIONS menu of this document. ⚠==
Excalidraw Data
Text Elements
方法一:有理运算法则 ^mWvSK2cn
方法二:反函数求导法则 ^eaYVGk3x
方法三:复合函数求导法则 ^AHQ7vbTW
求函数值时,是从里到外;但求导数时,是从外到里,一直求到对 x 求导 ^YWrQYphA
方法四:基本初等函数求导结论 ^PMn2zsoA
注意:
- In|x|中求导时,可以忽视其绝对值,结果都是1/x; ^inn2dVYs
方法五:对数求导法则 ^LurvagC7
使用场合:
- 幂指型函数:
- 连乘、连除、乘法、开方中; ^ZR9DeO73
方法:对数求导法 ^LfOfxGyH
Embedded Files
a1dcae4f5423f141aa3fed313a8650ad43bca39a:

e53f78d2d3e25379272adf0ab5ac1e83582b0640:

ce370cd698fb974ba603bbde2ad5aa00f80d115a:

774872d8e9c4a72d9b488c70c19d9c965d2d64f0:

df4296495ee56ac94d73157b442e53fd19f03d8e:

0a955e65942390baa295b052ae4dbf2b691a1119:

%%
Drawing
N4KAkARALgngDgUwgLgAQQQDwMYEMA2AlgCYBOuA7hADTgQBuCpAzoQPYB2KqATLZMzYBXUtiRoIACyhQ4zZAHoFAc0JRJQgEYA6bGwC2CgF7N6hbEcK4OCtptbErHALRY8RMpWdx8Q1TdIEfARcZgRmBShcZQUebQBObQBGGjoghH0EDihmbgBtcDBQMBLoeHF0QOwojmVg1JLIRhZ2LjQAdgBmflLm1k4AOU4xbiSANk6AFgAOTviedvaeyEJm
ABF0qARibgAzAjDliBJuCAAVQjMAawAxAHU76YB9AFEAKyeACReByYBBZRQACKDVKu0I+HwAGVYPUJJJcNgNIFQQIoKQ2FcEHcSOpRkdmOjMQgYTA4ehiKFJNtURAMX5JBxwrk0Ekjmw4Ii1DBRgAGXlHax1CoCwqQTDcZwAVl50yOPLQzk6UriPDGUrGPClBKJWIAwmx8GxSKcAMT8i282maRFXZT0jjEA1Gk0SdHWZicwLZWkUXGSbiTeJjI7U
wjKaTcHjzAkIGms9rTaaLJJJdqixoQe3COAASWILNQeQAukcHcQmcxC8VM7BENxOmKAL5HTTCR0vYKZbKFktHIRwSlbHYJyaTcZdcc8TpLMUQIgcK7cDhCSFHI3YLEj1D7fCHOeER1YU64K1HXbkTL55er/CFFuFGuQOsVaBYKC0vqtPkhudfwbDBUaaTFKSQLLyqZHKsGzBMOewHAgUHbhA+h3PQUIANI8NgXDnhC0Kwq+CJIiISA6hiWI4sQeK
suRxKkuSECCB4tL0hGlaFmyc4clysB8hmpRCuSAnipKkztL+mYKqgSpqtovLqpq2pzoSFEIM6xpmpa/LWra2ZCI6Gmuug7ocJ6uDeh+Rx+tRAZoDw0wiVICDhpGaDKrG8aoIm8STGq7Qykc+l5gW+SlnO5YcTea5zm2BnEJ2GRZDkYX9oOuBwaO45jJOYEzuuh5LmgK4xZmG5bvBe6IXOuycFAUKEEYFQOeedU3Lg+gQtJXG1u+pyAJ2mgCrNoAA
HKAFj/gCQ5oAYC6AAvxgDp3oNgCYSqxlBnH1EhDWNU1zYttJbJgUB/EQyhtOgwS7FZf5MFA5gEId4YndAHK0no2S4IeTDXsVt7sqQ4aHgQq37QNI0TTN81LYKQhQGwABK4SNRU6JCNVZXvZ8LkRh+rLaFqUFHhKEi4Ck56Xggn2oCVd4lA+JRPmU9YSIQ+jRGRl0tJwoxJHKbP9BwQwcCMrKzNO7RJFKnTdAe6ybF5u77pmJwSFCbAALL0H8fwcP
oAAybxrHcCAAOKSEkxA3J0bydLS4KQgxRGIsirOZqpxJUTRqA9aULtYnbpzMScZbCOxzL4txnLYNy/GCrUwlHATMkzLyOMScqYzTDwfntLjc7Sc407TNonRjEkvKi7ynTl5MCmzs7urqYamluuQZleslumbvphkN8Z0DN+Zlm+v6UYqqGGNuR7FeeduqbxBJ0xV75QX0iFvbhZmkUh19pWlHFHZdslq9pUOXnAdluUiwVi7Rfg65sJussITqGVCI
WECII6h7KNbEJk8hRPEHgBAkxdhSj8p0XYSRxy4FwOA7YnQkidFwNMdUvJcDEEmJ0TQeA5i4FpMwdwFQCiNDAJ7EoSQxRr1KIeYgx5CY8GtqTcmlMjjYAxHAa+94eh0xfKcKoNRhSfiYLzUY7RJhHH/HzQCox4izy1PMHKUFpawQflVJCpwXgAHkzja0wPEYgRgAAKQgACq2tCBCFzIQXYABHYgAAtM8NV8K+3hA7UieC65uzsh7OiPtCKnEpMwa
kOxA4MiirRMOvFur8mjgItATl47SjAtoUCpdOjTHFhnDONdSjdTGAkCWCCphSnTuk3kkxJJezrkZLS2l252nLDUpuHpW4+mskPNAs8k5c15OLTJwZxKVMgGGTGUZ0wJHKfMRMDkxjFxyQIOM24eCyjHBkmcYi5zBXzIfCK7YKyb1QE+Z85QGzNlbHsxK3YUpoD7HOAcx9p6iLPlMPK8z5yFWvrfe+245YoyofjE8VsSYdV/hw6mXC5w8LdH1cRQj
vz2WjLC9mkiBYVClKLLmVcQKKJgggTKO5H4HmQiEAAmgANUNlcToEo8K238a4kiKJfHYg6T4lSdcXHoH9iE3ZYSDmkIgDxCOfFWQxLnEJEUccxKORSSXLoaysniQ2VJQMnRkiFIliBUpjllK1zUk09A5o6mtj0o07upxTL9zbu02yDZZSj1cljVAHkVKLOkb5MYY5gx8E2cvbZqVeWOnCRTb6sULn7x7AGzM9yMonyeROF5F85wLiKiG7ekByoqP
lmCOqDUmpRm5pmWq2R2qdXwN1I4e0nUQCGoAGLlRqAFnlQAv4qAAdTQAQjaAB/tHaZYVprXQHWxtrbO3dshe+O6x1ThnQupmZo113DjoetDdhLC6pvSZKQJhobMzGj+hwAGfaa2DXrc29tXaIbiqhrDeG+a0BIz+RmtGY8nVJBxrq/5ND44QFwJMBhILN2Qk4Y+SFJzGbM2UE7XocKOYdAFRI/mgtUDp3EvEFUksFZKLxVm+9xxkLECEGMbWmgeC
kBVEIfQUp9A8DsSrTAUIDH6BuN/OlZJ7aMog2iNSXjQ56vovSikVIaShODlWbjpQhWR1FU5CV3AEnSqTsmKUMj0zJiDOnIZEBpLxALgsIuYE0xgTVFKN9HHiQGt7i0iy1rYqmr2WZy1rTp2lBsu7eIaYHWjNZEZqegZUzlwWLMpeOZ/U3MoZADeImt43zDfFS5B8o2lBjfi0+Capz5WTR8yLXyKpoF+U/KAL9Tjv0cLUJjoKJAIHFrsRMxAeDEE6
AgLUM4pk8DQbsVBmgpSIiSAgWYJSeCaAUlXPBBD8hihIcsEhFC8YfpPFKX9V5tzMLnKwp6kXAO02AwzSoCBqjSaRcI+yvIfUzqgyihDyzphc1AVp+IOKZY/MJQrZCMA05CAoHqAAQlWXkRgXhPF2GS+gJKEAfZeMYpjBEWOnGIo7DxnHWUCu9iSPjEBAnBNYkHRk/L2Thwkx7MVmZpPxKlWgIzhc05p1TDMUCs957yklMqSYr7UzzyMxqcYCDmVm
aNZaepncnTmuaS3SzbS5zOe8VnfJqcQLphQ+LeIaHSgjPHhXNVrmeDTggoN8uUxvOiujNGEp6ZAsDmC0WULdI9nBqOfTCojZGg0x3uGpKkaQtH1jY8scKXXmX1TUtsqd9ssEtUQeAFhMxjzbK2mqmYBHfcJAyZGFPN4W8A1/t1o8GgJZxmOqDJt2pa4vxblolpw/ifCBO0egmgzh3Ah5yqQbimXsvh7aiJPG/FQ4kNyjHfKItsu3bjkV+OpMx0lX
OeO0xEjqiLr5CSoDNRBnp4qToGdtCaiLp6hBR2jvHaqfqwXhrtKOMzDaDuZqXQWr7g5werfnVF3cyr4zTE3WdMU2qQbu/IBbNCm7wN+y+/+5O4xYRrXLm7u5Jbxo5SJppaoxXyZbJqB5YatTZB5rNSFo5olodRdSibPgHpDSACQcqNIALCagAECpDpnrLQUCAzVoEHEFkGnojq9T7QLqToIDnSCKkBzq3RHSLpPQrqvTvQbqLZbpia/T+D7pAzrS
DSEGkHkGMGCSXpwysA3qoB3qXwIDoyOqjCvrTa0LoC4DtCR7/ox5x6bavhMwswcEHYezizp4ASorcCuYIITBcwCrQT3aVTZorDITWLTB3AwB6hPC4CfD6AwwvB6hkrOB6gwCHRsB/Z14o4w7uLMpcZt5768ad78ZBKCa8rCacQ45RJRziqj4yYk6IYFygRiwTAOQSQyLopL4yRqiJDAQ8CpjTiahHb57t71wX5C5Wqi4n42bxR2ZX4i6OaQDi7cC
erqbK7Ppqh64exqjRi+StFOTf47LrxW4HKAGQC7wJQgEbEJbpQQFe5QGpZvIpqfIIHfKeHYaEjPyvxFafylbkwQBiAzi8jYDEBjBaa7CaCzyTA2hjDlyaCaA0ItbECdani8i7COTECpidbDYECEJjakKTaNAW7UJ6FfrTBGHCHppvFsJgqx4Qq1gJ5vhAx2EnTwJUmZ6jDLIoaOQph3bKIPYh5PanAkp3CkBAgkpwCSB/AJGZEN5sZw6uwI7Mr15
o45GbG975GRLCrRIj5xKoCyadJJwr5iwgSGaJigSf4aaShgRJwK7JhyppgobFzqZI7c5H587n6NwmSjEDw2ruzqgvrTgyLxBHZTAzhP6zHDwLGtEZzlyXaJgm4rzxZhZbEAEiG7HO5XKHGQCJZxqnHnwwGlCXHwEB43E5aPYYH1QIxRhOTFpQClrYFpG4GSHoBtqtqAA8CoAG+mgAMP+AD0ZoAHNygAM4mAAMSoAGiagA2P+ABi8p2i2k2W2d2Z2
e2Y2cNIAC9ubanZgAn9qoCYCoCdqUHUGnA1ktoNktkdk9kDlDkjmtljkTnTmzkLlLkrmVpjo8GsHsFIpcH4AsFuh8HLarqCHGE/S7oSHVoblbltldl9mDkdrDnblHmTkznzmLnLkdq0i4CKHXqIykDIzqGaEeYew6Gh4zaEzxB4nEmmFklbZ0g7b8L1BUkNh07J72EIZczJizyVFvLuGsm3FqISBnCUCTBkovAAAaH2Ks2sZKmgbwRm2snQcAOit
etKkOjESRTe3RqR/e6RHejE0pPKspeROBgqg+SpsSsc4+kooEaqXMXpXM0YVcPxiukA0kUwTOK+EE8CZpFSby1pB+EAPOFodptmzl9mYxN+7sRmzRYCMoDkFcGSD+TqGo7Qa+0xtO5cwJXRXsL+Hs6ooi6+6BX+fqP+YBf+1uY2tupyDu5ywBLuoBty0axxKZzy5xvuVx2ZQexeCsYe+hgpwKC2uFpJpQUKielJFF1JMwtJUirIacEsR24sbhGGR
eeZ3hpwBiKsHAPAJgbATVTizGUlje7GTEniEpzeGRjE3eQmWOfeAq4mQ+JcypOlmYiSMwL6hlEE6cvkCkCuyquSDYosKSFOs8Xp6KUwcVJm+ozlrlOkJqZ+HlvRjpFmzpYurKcw+p/p7kT+YQJ8Rc/IikWm4ZZuJVpQ4WhYOxEAexsWrumVpVDyIiqZ0BFxGW0eWWSBNUuahZ9kqVEAJZZZ5a6lVawMgA22qjSABf6oADTmgAuEqACS3uQYAMt+g
AXdGrl4GDQc080C3C1i2XnMHXkSBTocH3mPkmTPmZgvRRBvn4lRbbpiH/T4BrlSFS182C2nqi0wVwXKEIVIXpZMgoXjzulP5Ymfq4AfY4VrbgpAb4XmFgZrUSLcDG7dV0mw1zzaku1jVU0ckSA3DxAwwqzGKAhnAABS8QnFZKPAaw+ANwkwp49AGiQpK1opKRm13RUpAmKlGNmOwah1mlRRhOJRxOulioMwaqMoacl2SYvIvkcuDRfkiQPdYsmuw
Josk+j1P1PRDp5mwu4NgxQNwxnlTpVmmYkxaAQY0NT6ZFE9z+XkGCE4vSXpqNGV6NUZ8Uwa2NuNBxkZEAyZnuFVPu9tfusZ84iBbJXh61DxhWWQxWX8tKUeEAiwMwWcxA0wCA8Q2AedID8QmgMw0w2A6Y2ASQeiEDwYUoNW3xwCx+XsI2NyqJE25CGJuhbteontFNy2RJXtJJPt7V5JrNpFrIi8Id/VvAqYKcXmBeHhuZ7JVCyEh4s1xAZKJKuQE
l9e0la1SOcliOHKKOylPealFZGlhRkm2lY+510qauSYgVpcTJGC6m0k887pOUAUDkso8C6Zk9Npxq1mC9XcINM9/R4xEAa9qAFSUo2gAUMiwDFcFSCmoVQdcNCVyDMi0YpcgUvqQWJ9FumN1VQBe8RViZt9ZV993uSasBz9BJma792GJZqBRZyBpZWBzNijrNEggAFzaADwhqNAADocAvqoC5gcAAA+mATTgAtHKdpNmAD3yoAKdygAv/qABjkYA
G6KgAu35zm1mNlC2AA55oAL8JzZSQCgmAvZtT4tVZEAlTNTdT2gDTzTrTHTHa3T/TwzYzEz0zczCzSzKz8tB0itp0bBTjs6N0D5tzj0y6L5Ah66753EBte6RtB6GztT9TjTLT7TnTjZvTgzoz4zkzsz8zizyzuEF60MShtNqhiF2GC4GhW92M2c9VmF+hawZDlM62RQZhpwF4iy5AVADD+ObycGLDHO6K9RnDjF3DH9is6A1ihAkguYUAH22A2sn
wSQeokwMM8QVwZKnQx0yguCojiRq1YplEZdClyOwpcje1tdBRipDdgkTdqpZRzgqY+SlRlRFcqxpcDRimEVikikQYCkRrXOf1tpgNDSwN09Xlc9TmCOBcPds+D1im88Pd5lzkWhoqhcfkflmomoEkSkCxbRMwWoso6m6xN9MTWZcT+xCTN9d9xND9aTGZ5N2NWTTFc4cAbAh4xVY2RCxCIkJQvIY2oWYA1bjQtbYAzgSc4kEE4wUwsycDbpUoDbE
2zbdbOMyovSoZEsGcMwKxE2bbV1JjXpyCsyGu/mYwg7VbY2YAxpVc04TRK+tO2es7echcMoJSaYk7Y4sy7Q67xCw7YAcQJSGocwXpyNVRR7aqEkQbpcXQyDCCEkN7jQd7TO04Jc4kM8gbY4R7TO6YRrPbnqk+mqAHJQd7+SqYYsYEHdejV2UHBSmorREwWmf7sySHTbm7EVvSwENOs8UwvS8yJQzgTOCueH3bhHM4xHxCjbd7EVMiyDiwCH5cyD5
l9H0HXbEwFS8HCuUwJHd7BcFSDJYCwYjkSY77KSWoyYciWmsyvkEs0nm7BcPxosKo44FcvSLyR787Koi7syeHq7unxCYA+ns8w9xn/I4s44s7FnoTS7eHcwR2dnxC2m4EiNsyqccws7aqXnkCfk6o0XGcA7HHQ7ZH8koEoiVHk4tHs7jHRcGuLHl26S0w/njQqHCJGHg2umIVm77j+mCwrHCC88aohXJQ7jplEs7QmncniwQnYAVXosNXeXdX0Xj
XYAInsH4n07YXm7WXzHBHeXSYQ3wH8C5SGKWmWKE9JQ7danWcimmn6Y6K83o7oHy3EHa3JCyQC7Sby7HpfnCXG79nPXYEbX/X6S8Cn+9HHbMH3bY3SY/bQ33Hrms8Pkqugn5na+IEVcWcCCCwGHoCQ3qY8k4kuUcnMoMVIP3dbj6S6oFpc3N3t7m7ySZlkCCCimKoYEMYm7hr2g44lcXpz7DlQ9sPaqcwswYsNFQYnbXX9bOPgHePaqyC88K+Gux
cejuLxCL6aP0+yCxPjk4wDPa+Es6yvSDkv7ZP9ncQ6c91TJN2RcIEa7XPyHPPyQ1R6K6YcyR2kC4XqnRuGnyCu317evpH9nySWqZjXMxcinimFvKoVv23NvtHsPL6533nGuVlqV63lv6nPvOUfv9vd7cPDkNXIHKGTyPxs7avyyPxmvCHnqGosPScxvcybXwYXb5vm7273pe70YbXxvufKSiwBfMiwJaHJ37blPH3Ynvb33oE8XRDt3ovL6KXGSk
yDkN2JSIPVPX15cXjUfrmsPcQzvzPyCyDacHv5PL64/drtP0/hDPfuPjvvPacGCK7Qv2Xxm9Ha/JcE/m/su2/JQnHeP7j5SM4muUymPo/5P73oncHfbXfsP7jCwyYl2NULFXKS9VS+v/WVM9206+RIECuOjluw8YUdUuwTLoF7xv5gA7+jvdxvpVmBQDxwQYCxmQlB6gJS4rRFfKLBnyw8mcF/DflP0uwl9VeyQMWKhj8rzBvSkwf3gkBoqzIcBo
CRMKH3vYntx257FfGOETC9IhuU+GcOklSQTA/MnOTdnEARLMDtuyyacOwJj56ccYQXYEiFyfbfVCB2fcHqQKh4UCNB9nCKgFB+K8deOpcCpPoPgG7dKOyA5UFqDQEYDiEf3XjoDwE4K4j2ZfXdmZUr7zx1BO/bno7w1IRtFMUbVdiL0aDHslB04FgcsiNLd9b+iXPfnL1a5VwVQl2f7q9zbYPsMkBHF9hqC9JeNwBWmOYEZkTA6CMeR7QoXoJKE/
FfWIQtIb30aDjAEgGcaishl0zpguux7Mdmey6AiDxOdvUIfr0d4RUxY8wcTiqApzA9V+lPagTTyn7X9Ye0wt/HMLVCL9fBYAswaL3yRg8SBkPXrmGTx7LDqek/D1OnAcjgDsBcwDBNAPwFwC4gQwidqMLEGpD0B6Q0Xg/wwRZwK4L/KXhb16RMslImpXITwEoHaAlOvbf7l7nmGgjqhGoRrK0ShEwjPqOg5KmwxR4KDYR6fLTKXC17Z9deEwh3qL
yZxYjq4FSXEffnxHvDhBU7L4fcLq6PDHhMAggfALuoBCFclfJPuMLaG79Dha+SfFvgrjAkn+cApOIkKEEjC4ucnMkUKLCGi9Nhsw2ZPMN2EDCZRjI+UWOBXx7cDhHQiKuyPKRqYtcacfIS31lHDCL2h/Q0eSNj7Wtow2XT0hLBNaztOejovHhFWQRjhWiaYQzEXxO46jT2HwhUVGw2GwjPUfkNhkGOBIhjW+n/L7rTlmBRi/RsYwMZjwTGeiEgO7
FfIEPerV8jRZCX0TGIDGS4oh5SDzmd0s4XcfOXpaESWJIQ+svGbXYpCtyDY1jxe4sSXoyQghKifh7QshK2L9YdjA2ewhgerwz7Eis+OvdMeWLjHZjqxm7D9rFQriddf2ko+3N6Md75I04rmVXApHLhZw4BI3T7h318jiRwBj/QET3X8wgjKuZ3B7rV3SSDdmxcPQPtZ2D6rJZ2zXBSK13a6ag88v3DxqUOsFdJkq9g/8RMCax+jgJimIbmrhQxaZ
x6/bd6pl0p6zIS4lneBJ6iMqw9Lhl/WgRrn4ERdF2UXQzLFxAhDdQxcou0ePXyGKCmBiQlQWwNomjswxTI1ZDO1L5JjRul4vgTuOVGTCa2eY8voWMTCHt3+4k3kfu0TBjghubwriXqLsGn852sIxyOjz7Eahseu44hBt294yJfeMyeoSkiKHPsFIpQloUN3cbJhDB8vNDtJPs5Khku4ItET0kTBDdZOHRFYnMDTiyh+Brkr3hH2MlacMEwkoccKI
6HyYwIOUK1gbiMziQVOn7BXN+3gSHj/2H41UJrkTZgR1OXI1yalI3E/tMpg49wR0Ln4lIXeuw5fvYKKnrj0pv7NjrPy6G5CUMK+VnImDRJttyJsoSiTF1cGyhWp8wdqZki6mXYzJj7YoVZOaHlCPxBlI3osHtbphWizfc/lcKv708FphvA0ctNN5rS/BCAlLiBGcGV9BRUUlUZVLanBNxpMuSaXxJtHhiwekY7KWvgVyE9lQKGIMirzEk8iCxfIo
sYsFanz94EtUvPDWLTB1ig+V3JsfpOunB9hqEEGovmw6FESaBNw0iRwK/GXcQ+3YrSRL1f7S9ypvwjof3zTCD8N6k+SfG/0d6aTykhMqXgOI4ED8ZQVMkfvwI2nETMZdwj8eTN1JD9qZjJXMU9O4nz4Gub0xGXlJRmFSxeBM3sa/07qtSCexnYnj9KtFp8Nes4hXJkll5M94ERuXuuzxSmNTNxZU2Xnz0P6C9IEJ/HDiByW7gcq4yob4RVLIRUDN
ptAqnHbMW5gdkGgbZ2TCIlgZJqcp4+RCuJckLdDujs8uEZkxFdBsRtItMHiIjlYTi4ivD6Z6iklxzguOIpOfSJTniccJLo8YOJGTANspsyaUIFAAND6BOoMgbYAYnLY+h02AgJmKuFjQGJAgVYdxLenRZHA4AXc5gKRESau0TwLwIlreBJbx4CKFLbYFSysIp4WozDBwmgAP5tdLq31Y4FHWybMV0ABiSQNMCuCfA/gGESYJgF2AUBMAygYRoQB4
AUAgQYwGGEXVYyw5S6t+PPpKVkaV15G+1eUgPmUbD5VGpRFujJARK18HuyCQKUdlmCWsJIHjbXm10GwjDN5Tlexv9Wwa7Ehidjd1svQGJetb8UuNxibza6ftpi/jNAIF36E6CJgGoNmQsRQxjctQO9FNr/llJBptiL9K+lm1YVHEiaWUVJhY3eRwFyGNVaOqUDLYVteww4rdp6KG4t9/pFfA9hnFkXNj4hLE52SE23xDI62cizWTOMe5Mc3MfEzt
gJIk5CS5FfUy7P6MGny4ax6/VYTzIK6qLDJoUnbqn3MmNDZp8wBBBYo8amzSpkCSfNorABriv2Zs8YDrl8XFSmprmadsEvu59cEEA3CWfDPo6hK0p4SuJbO2K7odE2nqbLhdNdm9S/FYSgJVks3bGtLswEtZLKH0ouzSZaS8PltzClwDyOJ0tLi8kgS+KQpzStxUlxmSORWuFcR9teOcVuTLBHkpkvwIiok9F+8+Z7kG18VgiJlmSTydMrAlWCnO
kEr3vUukXHtpxRIgxX0NnaeCAe/HDKSUl0UeKZpr7JeeYISD/c+OaUi5U4tSUFDGBRmViZovT4nKHlXg85cg0uWqKX0hgk4WQOh4ndTlTyoHoyTkWecrOuMzVL8p45nLnlgK15SJIpFxD/BAM+SepxO6UKYqCkGhSglaGXTRJ2K46U4KUxByuuhK4LiSrZlyK6Jto0YcXFnb0rqFqcJlc2I/6mLp2dCzQRrioXEruV5SQiaCoh7gqgq/AzlaKtoX
irmxDQm5eBI1AcqtBIq3QaSqUnXLLJr7NVUKu0HyrtVHHCuWVCrk1y65w4RuRW1iatz9A7crYJ3OZA9y0WdtTMAPJdVdyb6o8wmIxmapR5iW3tDbL7XJaBA55lABedBlQC2Fl5VFZdnMHbHBsGKmGHeSXgkAaJMAeoCSDcE+D4A3gkwD7Dy2UC5gqUzgQ2MwE4rPzocCrN+e7A/lbVFKr4dVrkV/nqUjqWlYoiqTVKgKe6Wgztm11Caxj6a0kdFA
XEgSWjLsDMpko6zQXOsbGrrRevYw9Yr18FvlUHggmDAzCpJag8hd5GS7UrqO44egfFRPghNIEGcXXBE1NxRNQk7CmMgSS4UJls2yTXNgIrJrCKi2b9Eth6qbmVtopdbFRW8utG6i7R7K/YcBpxWKKd1IYuFbWK87fjpwSKiDZirvYU97F1whyleJFmgaRB4skmXsq5kYysNkHPiQoskkCi4NGGq/thouE9iMeTMmXsCvRkOKSNJ3ZSfRM+E6oqNK
wzDTlFo32c1Uyy1EasqmVwaoZCGxFVesE04wKJ1i0BEsRomqKk4jgpATSue4W86iqEj1KBElEEaANbbFlc9NpGYT7Zvszsb4w4mizVJjEzCW3y/7j1RlbyvlReIk6Cr7OU3HLjNzq4YryVWKkdqptOk0rj1J3BJY9ySXPcwIhEiTQip87Fx+BYW18czzhmoaLh1GkiXcuIQwTAJ8EhyIhI/H0ztJr/J5Alo3X+Tt16nGfkqsEGsqp2PxdSe403zl
arWlWtwQ0oEHTS9Vqq+JWVq3Utas4VWt5cqq61WCDVd3SngBLgnTE8t8QHVQcsz5Mcdef4ibbBMe7TaQJzYyxQNIU1RDlt1XcLeY2S1ISml1vKPqZMm4ID+Vjmwpe1pcW9KTJyCTCYXPTl4S7WbW6RekpKkZT0O/AyOQ7L9lYo04x26JeEtAhkSHlAbNCbppirHatNSYHTTMI7oW9Iu8m6ibsoM1/bzNx3dxZ1pkReLSB+3MzUd1W7uLcNzI7jc2
Mx3E6QB+MhmQrMY36arpJQKndHNI10yYt9Y4Po2MJ0+zqdbOsSSYtc3TtzFm2iHdprcaI6FIQG1LTJrh1Q7JdwSlvoFo6XnTYdKE+HRLuJ5S6ZJ5GwGQpLJVFLPtMSn7UdN114rFJounpadtWmPadd+Y6DcEOO0o7ouO24MCDw50wzbOou4TRCPRElwAsSw9LY4rm2EiFt2vMbcQnQ28bN+tw3zUUuG1479ViuojaxstG8yhtHy5Qd8uk2R6U9fG
2PYRPo06SStY/aPRlrj3taQVxwqVVDxlWl6PZwegrR7sQ3ld693M3xljN5VUq1NR6r2UsOb2Xcvdzm7vUFt70nrKVZuoIRbuH2C72+bm8OZHqg2STHdvK6XegLNUZkLVBgK1Q3L/V2qmIbc/AB3MHmuq1CpbE/d6p4UrAGqX6Q2BPIAzBrSWoaiQLPM8DUtuq3AcJidmRSh0Y1You1gsBZKpqf1vDU4JxXoDawKAZKP4MQGMRsAbgNwZgKQE+ADA
pQFAK4CrAQCEs5WwpcRoqxZTvyUkn8tVt/I1bY4FSeOE6kAubrqNFQKGFJIeKDkSQpZsC/JEAIKU9IKu3RKxrzhdb84RiYNVdRMVZQFw+RqxEpNUSJGb1Q2HsF9Et0R5KR+Q+c09duAXyEdNOx9RJmmxEUZs8axVC3Dm34VnFH66TffcWzZbYYJF+NYdne1bZeiZdi+/iULsnxp4UNfmtDSpsQGj7co4+nRcptkm4qp9sG5jQPp87Ib7O9h9w0sM
lXGDeuSUtfUUrUWfKNFrAtMKIhw0qS7Re0q5bjqaGuYI9LbAIw7un0OG4hW21HVqByjBK5ZdOhjVjwr17K7t1u9xfNu1nh7GdFKxpVbsj5wCmjPR6PsBr6MtLNN6u+XW/hS1RGXJ5Rl3RGyqNPbsJL2kuQRNUUcbatl7BRBdqY5eameRHDo/5o0lB6O9mWxoNlqm0dclNkGpw3PunauHxtTWvrUosG2lGR21mhibxPG32SwejkuMQbva1L69dXpe
1BUsYG5LMOumHPk3pxlhGc9RXEE3qTBPFwITbyqvcQJr3kCDM2S8NklWrizxgSJSWbdVoSEpHVBMJkoJUvGAOQalGSInjqrJ3rHWlB6nvZOBD1ayjlpI35QMp1xdBx2vAlk/opJFLakusyxExUnST8jjtPuyZTo1+WWDHlNg0RFFu90ojfday5FY8u8EvKJTypqU+cPs4+T5OHpAKaUi1PuTRN0pzds0Ryg7DPGg05UCaZWWQjzT4Q5IGEwgjalv
pyDCY4bvGUibHTup0Xnnzr5pGG+WuB0c8YEGtG2Tgp50/n2DNF8cJN26RQnryNvs8esU/yAlPmDXYdVRJpIWwI85yGEeLyJHkob2Ox8WN+e0iQWfh6dc8BihmHV3uV3OCQt1Z+Q8WfrNFwrNdJ6dn5FbNFm6zibBs5cdeOjC9pfZ2sxOsHOdn/DTZ4LX3udOAD4psiLM0GHE1Qng+4RgM7CLimeMBtTCgk8Brz0x6qzaZ2vhJDjON8Bj4ZpI1ntS
NAMPOgZ884sBDMJmrlkZrXviYfNnn6+8Zq85Mcj3TGqJlRiSF+amBagohSxGNlqG6Wbdmjp5sC5G0gvLt0dTOttizoB3lIwIoFyId6mjbIW5FiWp7sluwvgXcLMQlC50bbZ2SJIXxwpD8ZIuIW8LSkAi7CJougJvjgYk7iXHDakXohUFl2RvozRb7a5aga1XvpbkH6HVR+p1RfttqWHZLI8m/cEXv0mE2qxyAinwj2wf77IKNONUBFmCxijMEEIA
+NR4aTUlYYwegC8BuC8gbgawDCFESBDYBcwcAPUAsDsRwAjA1ahlK/MbUEH3Y0jNSBXWyJV0z6CjeSpAA7U6tIAROfViApOqFxXCyPVzDrlAQNErKXQ48cExtlidZ109dBe5SXU4LBDeC4Q7fhGo4x96JrXyNSb3UzgjGqmEziIImBxsE2CwRTEdk0Optoy1YHKh1WEmO44yhVZ9VfqSZ8KPYkBNMh+oyZ60My36iw8QxPC5gVLU8sltCi6rf7rC
+7PqivMQxJLGsbXEy2IvMvoBtYIgegNEGzXeX0AeButd4kCvbVXwu1VtZqwoPHUCcurbtWUQe4TIcoyDHuhghzz6NnqV1dPhBB456MJYeVnuAVb4P2ke4K60q841ZSmM6rgTE+LOLy7+m0qkTLQz1f31Pq4so1wwxNZJqVUn6Zh+a8Hg/q5NUWxxhmm1CKYVpR0azIaIABS5UaHOQYLnp14vaVm4NA5tc3h0PN9qleXug3kHmV0J5mrVebPRXynz
XWh+XEJ/N+bgt7m1bWRbwVuAZ+2AlixkPO1FrhMFOitcf3TzXw9DbS86gwQ7WEMVSvpKQKOtpqY66AOxGKw2AaIug11kUr5dkrKtJ6wV9HGQYOpatKDH1mK3qx7X5SeL4sPzDR0Os5xAwGuVToZxTDzBhZflng25ThtusEbuCpxi42H4eNkBpcATrEJDaoUAocbfrlrnmLXqIyo17Q5fXjJE2CavCj3G+uMOoyhFM1ymk7fzJ5NDsBTJmszaYLVp
AA/vKAAKV0ABc6iQU2b1NAAQnqABwY0ADR6q2k2ZxBUAgAPfjAAGnKABABk3uAATNN3vb3Bou9wAAD6/UNpr2VWbj3p7s9wFtsyXur2W0697Zjvf3tH2T759y+9feuYy3lad5aWy8yXRy2PmH0RW980/Iq3b7M9ue4/ZXtr3amG99+4fePun2L7V9jW1ehtra2+59tPW6hQNsYVsSuADCCbeoYhraGBFCwuBijUnRg6m1jPCwz0FFJRqheY6zhlO
CfBEwHAYxLmGwDKBdgOIFWFCBTr6AyUygNYPQCSDLWcDxdH2yqzkoNry6X8kKz/Nev/ztWKjLtWdVKDxw1OE2i0Ph2WTQL+6fkeSN0MX5+YB60Ny/CVacan5F12C3O/Y58r3XlFc4GGrwHprw1HkA2sHQw9KAsLW7Z9e9VjU4XN3rDBh19UYamtVUJL5h6m3cSiD5ZHiP9Z4v/VeLEBdgA9fCVKDjAahEQvkYgD+3RSwM/IFWcBPCXiBtZOgoDCR
rgyLD4NUSgl44Epe1gqWWElDaPKtef2dVJbyKQMGlb0v0lMLGoZfo7ZAMnWIA2sXYBol2CYBDYMAT4F7dut+WpGxBpSqQZevkHNHod06moz0f0ltMSYInhd0UzYoE7pOdJLCJcHFwJYTnB679TnXWN56TjgXMurztuPRgwJPdWXd8cNgo++9XS5mGCen1Lc59DhY+sif6HwC5Vd9fE50MZoqbdVfu3TeLKM2y0I90W/zc5sMEb7wMPF8Ol2hi2J0
Ste5irSAfi2nybzTWvLfAf76d0yt42v2kGhEuu0WDlFioR1sFsHa2LNCmXd9X6EVY5DvCqAYkBrBOgZwNrLmDeAcBSALwTsMYgwjawgQhAD7DDAwjYBdo5JGh2tXjhXYcYQ/OZGpxyg71R1RcPMSXI1DU4xTLpbxFTz3VMDqDcV7g0vVcfZ2irLj2ekIYZrOJ5WJddZ6ymUcqsA7MpaunKXbX11tHoL9KnjchcPrZrCyPepXy5gfEaWXByDD/pYb
LJrsGcG3pM4WvRZ4mI1kJ2NfbuxPSaiLr9TmSSd5YCsEgJ4iVkyfIRUEcuBAJjwU68gbQuAQ3ANhVC4AgExATQLsH6xWCiYM8JEuSGHZokb+mJJSwME6cUNVsPT6mOADXhfo4AcAGELGm4A1hoA1ITIAEgshLgegDAQgAgAoAfYsFHz/K7sHvcPvQQbxEQJZF5YZAYQ++F57wcKDPvSAr7rYPoGve2Nb33rxxk++wAvvkob7hjP69wO1qf3EHv91
B4A8fvxShBt9L+//fvuZGJBtR2e8Q9YfQiNdXZ5AAI/IeMgGiaN4AoQ+Qfsg0Hm4Ji/LLyVMP5HhjDTRUKZaWPdHgD9QX/sUv8PtHqANB53ecE/gf7tgBQGpBoJYmXHoTwB5eCOgxPGISTyED/jif39pQMj9x4yBKeJPZwckuWCff4IMQkIKtavOBIeNjO/rBXK5hyRMQVskIElGRWtZ54KTAvDJCBZ/dGA2ABgPd3+AIDIwZM8C3rGSMdyyfoPM
MfGxIEM9nv7QJAAezoazC/RiAMIBAOwlJyxfkvKsNgDQgU+4BNAwQPu0l5IAGo6YH2Q0MhFIDKAbQAAClaJLBWGDX+r9QFVIpIAAlLSDhjKB25PcKr7V81wteBvvASeK16lAdeSWbxbuAYmRL1y93YXrT/VDriUfronAcJ9vAZqkw4YR4X6CVjQB0wsg+Xwr7g/dWaeiA6Xt1dhj3RHve5J3yK1DExbHeEAE3uwG8CIrMAoQe6OANl9y97oCvYir
9NUEuAIAzgPn/AH576fP5gggPjmCwhfjQx9A+nrbDW9qoTV5wVcv4ID8YAg/DQuFcADTD9fBBqwTYEAE2CAA%%

















