忍不住了,开导!- X! c& Z! p4 ~$ e(欢迎访问avcar:https://avcar.vip)
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(sinx)' = cosx
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(cosx)' = - sinx* z8 ?. U) g9 u) Z- Z0 I/ d! [(欢迎访问avcar:https://avcar.vip)
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(tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2: Q# Z. e! b E$ J1 z4 a, v(欢迎访问avcar:https://avcar.vip)
% ~/ t9 U# a8 i -(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2) G1 M. W* l7 \5 d(欢迎访问avcar:https://avcar.vip)
7 X) d' J1 n, I" F; e (secx)'=tanx·secx
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(cscx)'=-cotx·cscx
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(arcsinx)'=1/(1-x^2)^1/2
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' S( ]; L# o3 q( W3 \ (arccosx)'=-1/(1-x^2)^1/2! Q+ c+ v8 W+ A, E8 f$ k& T1 f4 A2 ~(欢迎访问avcar:https://avcar.vip)
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(arctanx)'=1/(1+x^2)
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(arccotx)'=-1/(1+x^2)' L) D% @5 h% t6 I(欢迎访问avcar:https://avcar.vip)
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(arcsecx)'=1/(|x|(x^2-1)^1/2)
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(arccscx)'=-1/(|x|(x^2-1)^1/2)
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④(sinhx)'=coshx: \7 [$ T- ~- b' m* ?) q* U d(欢迎访问avcar:https://avcar.vip)
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(coshx)'=sinhx0 ^5 H$ ]+ r- N O5 D+ `(欢迎访问avcar:https://avcar.vip)
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(tanhx)'=1/(coshx)^2=(sechx)^2
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(coth)'=-1/(sinhx)^2=-(cschx)^2
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(sechx)'=-tanhx·sechx
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7 V$ t9 o6 N0 E8 z1 K* {$ ? (cschx)'=-cothx·cschx
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0 J( N# e% e0 d, T% k( ` (arsinhx)'=1/(x^2+1)^1/2
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(arcoshx)'=1/(x^2-1)^1/2! s% b3 g+ ~( o8 h: B(欢迎访问avcar:https://avcar.vip)
$ l; \2 ~9 Q6 |7 c9 N( E (artanhx)'=1/(x^2-1) (|x|<1)& C) Z' p. H9 J0 H(欢迎访问avcar:https://avcar.vip)
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(arcothx)'=1/(x^2-1) (|x|>1)
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(arsechx)'=1/(x(1-x^2)^1/2)
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(arcschx)'=1/(x(1+x^2)^1/2)忍不住了,开导!4 F( |! ~ y+ }$ f0 R(欢迎访问avcar:https://avcar.vip)
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(sinx)' = cosx
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(cosx)' = - sinx3 U3 ?5 a; K' A& P% r. ?(欢迎访问avcar:https://avcar.vip)
/ t- D* D# d; g9 B, G' D1 s* C (tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^23 S. c+ X n$ N% Y(欢迎访问avcar:https://avcar.vip)
- |& v: ]$ u. _2 b -(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2/ @: m3 r6 X0 Z5 T& H/ ?, A8 f* j(欢迎访问avcar:https://avcar.vip)
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(secx)'=tanx·secx
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(cscx)'=-cotx·cscx
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* w7 D5 S! ^% X: ~$ l" |: T" v (arcsinx)'=1/(1-x^2)^1/2/ n- g0 U6 Z6 p' r$ E(欢迎访问avcar:https://avcar.vip)
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(arccosx)'=-1/(1-x^2)^1/2
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9 W/ f: r) E. n8 ]) S" M# ? (arctanx)'=1/(1+x^2)
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, q7 [- f( G! _ (arccotx)'=-1/(1+x^2)
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* _; d$ M& N' x (arcsecx)'=1/(|x|(x^2-1)^1/2)3 ~3 J' M( C' B" T9 }, B(欢迎访问avcar:https://avcar.vip)
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(arccscx)'=-1/(|x|(x^2-1)^1/2)' s- f6 D' D1 p4 r! h(欢迎访问avcar:https://avcar.vip)
. y/ D- t3 ]0 P% _) c' z ④(sinhx)'=coshx
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X1 g) ?+ h8 K" J# ~7 G (coshx)'=sinhx
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8 m# i9 Q- a5 X" Q (tanhx)'=1/(coshx)^2=(sechx)^2
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(coth)'=-1/(sinhx)^2=-(cschx)^2
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( B% Y/ x" p% g (sechx)'=-tanhx·sechx
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(cschx)'=-cothx·cschx/ M, u; r8 h0 ^* Y# i/ e- Q$ V/ l(欢迎访问avcar:https://avcar.vip)
! F! j4 q3 W2 V! F6 m8 Q (arsinhx)'=1/(x^2+1)^1/2
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(arcoshx)'=1/(x^2-1)^1/2
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(artanhx)'=1/(x^2-1) (|x|<1)! j1 s* y. w1 j. W& O# g7 X6 p2 Z1 M(欢迎访问avcar:https://avcar.vip)
; |/ y7 O% k3 O6 E0 s! _+ w) g. v+ O (arcothx)'=1/(x^2-1) (|x|>1)
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(arsechx)'=1/(x(1-x^2)^1/2)
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(arcschx)'=1/(x(1+x^2)^1/2) |