忍不住了,开导!" c( o1 k/ x m& Y, R(欢迎访问avcar:https://avcar.vip)
, K8 ^! c' _3 o6 U(欢迎访问avcar:https://avcar.vip)
+ `) w c/ O! {& E, L7 V(欢迎访问avcar:https://avcar.vip)
8 n( o _2 s+ p# z(欢迎访问avcar:https://avcar.vip)
0 Y8 R* U5 x9 V4 t: S. e& l/ W
; i4 ]) u5 `3 o; G6 D. t# a (sinx)' = cosx/ l, o0 T+ W3 a, j& V, X3 d( `(欢迎访问avcar:https://avcar.vip)
7 i2 b7 W& f7 x3 v A9 d5 \/ v8 U' | (cosx)' = - sinx; k7 q0 X. y9 C* ~3 m- `: {(欢迎访问avcar:https://avcar.vip)
3 X/ S. e& k/ M. V' z (tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2, E) Y; ^# f: K(欢迎访问avcar:https://avcar.vip)
. X1 }7 F/ s2 X) W4 o(欢迎访问avcar:https://avcar.vip)
-(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2# M' R# w9 \2 h4 L9 H/ i(欢迎访问avcar:https://avcar.vip)
% X3 c3 T* F; `" e: j(欢迎访问avcar:https://avcar.vip)
(secx)'=tanx·secx* D" F! w' M7 H! t, I/ g* E) O( ^: j! c(欢迎访问avcar:https://avcar.vip)
8 H" u. M2 I. f, \6 Z. I8 f (cscx)'=-cotx·cscx/ j$ t4 n0 R6 V. {* I( z" _3 k# L(欢迎访问avcar:https://avcar.vip)
" L0 a' H; P6 c L# d (arcsinx)'=1/(1-x^2)^1/2( ?/ ~# ^! D0 Q- x" K(欢迎访问avcar:https://avcar.vip)
# F5 o: T7 j# V8 V' d7 c0 A (arccosx)'=-1/(1-x^2)^1/2$ V! m2 l$ `+ u( a* G(欢迎访问avcar:https://avcar.vip)
1 M: P& C# Y3 |$ x(欢迎访问avcar:https://avcar.vip)
(arctanx)'=1/(1+x^2)
3 Q4 A) ]+ u9 n
% `2 z$ V8 [+ E# y5 G4 { (arccotx)'=-1/(1+x^2)
* |* U- ~( Z' z+ u
' H5 j! J) u! J (arcsecx)'=1/(|x|(x^2-1)^1/2)" z! J% L7 M: J1 G6 J4 W: N2 B! P: H(欢迎访问avcar:https://avcar.vip)
. M/ x8 L- t, G3 K (arccscx)'=-1/(|x|(x^2-1)^1/2)
0 w; v. x" Z- K: m) n3 I; D/ t- Q# h+ b(欢迎访问avcar:https://avcar.vip)
④(sinhx)'=coshx, H1 H/ V, f, d(欢迎访问avcar:https://avcar.vip)
. J$ L7 Q! H. Q( u (coshx)'=sinhx
) _/ C* \& L) `' S
9 M ?" C$ F, A% N7 x (tanhx)'=1/(coshx)^2=(sechx)^2
, k' A) g7 g+ o) ?2 q7 F1 i# e2 Y7 N% |% g(欢迎访问avcar:https://avcar.vip)
(coth)'=-1/(sinhx)^2=-(cschx)^2# k; f' H2 i g(欢迎访问avcar:https://avcar.vip)
6 W& ], K, _$ U% r7 m* b(欢迎访问avcar:https://avcar.vip)
(sechx)'=-tanhx·sechx
9 S- Z, h+ [' ]. f1 A/ s$ h. }0 M; \(欢迎访问avcar:https://avcar.vip)
(cschx)'=-cothx·cschx6 t0 A2 L: j3 i7 N3 p' y* S(欢迎访问avcar:https://avcar.vip)
q, z9 H# c0 k+ X4 u e (arsinhx)'=1/(x^2+1)^1/2+ U4 i; F! @4 b* d2 V(欢迎访问avcar:https://avcar.vip)
, }( f' d* A/ ]6 q: m(欢迎访问avcar:https://avcar.vip)
(arcoshx)'=1/(x^2-1)^1/2
3 _ g! E4 B. O4 |" L" w4 d9 l1 ?# T# c2 c(欢迎访问avcar:https://avcar.vip)
(artanhx)'=1/(x^2-1) (|x|<1)+ ?0 n1 @5 J2 ^# D. e2 ?+ k(欢迎访问avcar:https://avcar.vip)
& u6 U7 q2 V* R4 r* |' h' T% p+ ?3 x(欢迎访问avcar:https://avcar.vip)
(arcothx)'=1/(x^2-1) (|x|>1)( u! s2 L t" o V* ~9 T6 O0 k# b$ i(欢迎访问avcar:https://avcar.vip)
( |9 A" l5 ?7 g$ V k (arsechx)'=1/(x(1-x^2)^1/2)( f2 c6 q. z- P# c9 x, O% k(欢迎访问avcar:https://avcar.vip)
" L5 H: B4 n+ ]# H3 Y" G(欢迎访问avcar:https://avcar.vip)
(arcschx)'=1/(x(1+x^2)^1/2)忍不住了,开导!1 l8 K7 k3 ~6 q(欢迎访问avcar:https://avcar.vip)
* ~6 g6 J% u# I/ J" n0 F(欢迎访问avcar:https://avcar.vip)
* v/ q! d+ h; D+ R8 d(欢迎访问avcar:https://avcar.vip)
) a2 T7 t) E: d(欢迎访问avcar:https://avcar.vip)
+ V. y9 F( @) X. ]/ A: {(欢迎访问avcar:https://avcar.vip)
0 S( E1 P# G; c- i (sinx)' = cosx
0 [& D; z$ i) {, e. N* @
: ~6 l. x6 E* ^$ X0 l (cosx)' = - sinx+ P3 K5 `/ G9 N( Q# ?(欢迎访问avcar:https://avcar.vip)
7 W! @1 I3 L+ O0 Z @4 e(欢迎访问avcar:https://avcar.vip)
(tanx)'=1/(cosx)^2=(secx)^2=1+(tanx)^2
: z; K6 i; L6 m. a8 s( A' ~
( p; P$ q5 d& U, o+ [/ C -(cotx)'=1/(sinx)^2=(cscx)^2=1+(cotx)^2
- n9 @5 b2 C9 l
( h5 {' \$ j$ B! I& f0 z (secx)'=tanx·secx
/ d: j) e% G8 y7 J+ H( q, o( c2 g# {. B+ R. W) N2 |, T8 t(欢迎访问avcar:https://avcar.vip)
(cscx)'=-cotx·cscx2 `3 Z: |; y7 ~(欢迎访问avcar:https://avcar.vip)
8 ?/ X, B7 R4 A$ T$ D4 A+ R (arcsinx)'=1/(1-x^2)^1/2
) r, P% [# w2 r, {1 n' ]. \/ I
; u/ x# H4 Z+ [0 P4 p (arccosx)'=-1/(1-x^2)^1/2
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(arctanx)'=1/(1+x^2)8 ]0 v n. V! T- ^1 Y(欢迎访问avcar:https://avcar.vip)
) ]8 |. z* V& n2 R8 `/ T e(欢迎访问avcar:https://avcar.vip)
(arccotx)'=-1/(1+x^2)3 M. G$ K5 j. Z }8 g' l1 X(欢迎访问avcar:https://avcar.vip)
5 D3 X% h4 ~& T(欢迎访问avcar:https://avcar.vip)
(arcsecx)'=1/(|x|(x^2-1)^1/2)
! F/ P4 E1 h' w/ y* `9 e( A" E
2 {4 |/ G7 F3 @3 o% h8 b (arccscx)'=-1/(|x|(x^2-1)^1/2)
( f; Z- q6 l# m8 I. s8 \2 A! Y; k7 [; k1 T. ~* e(欢迎访问avcar:https://avcar.vip)
④(sinhx)'=coshx6 k6 R, L$ I, g0 t n5 n(欢迎访问avcar:https://avcar.vip)
0 W* c9 H, Q# t( C) h (coshx)'=sinhx0 G) ^# r) k- ?+ U9 ~(欢迎访问avcar:https://avcar.vip)
8 }9 K5 d2 V3 f' v p; N+ c(欢迎访问avcar:https://avcar.vip)
(tanhx)'=1/(coshx)^2=(sechx)^21 X0 {, H6 I* U5 d3 {. X(欢迎访问avcar:https://avcar.vip)
0 s! q; P( e5 V: b2 i7 d O: Q(欢迎访问avcar:https://avcar.vip)
(coth)'=-1/(sinhx)^2=-(cschx)^2$ s: a R& w3 I" ]" b(欢迎访问avcar:https://avcar.vip)
$ O* P+ q* f3 t) n(欢迎访问avcar:https://avcar.vip)
(sechx)'=-tanhx·sechx
1 ?2 G e0 n% N3 ^
7 p- n" f' S* ] (cschx)'=-cothx·cschx
2 j1 Y, E8 \0 t4 K
5 y7 o# X( h8 w (arsinhx)'=1/(x^2+1)^1/25 C8 x0 W+ b( t! A* E; m m/ C(欢迎访问avcar:https://avcar.vip)
0 z/ i4 u* E" }' a (arcoshx)'=1/(x^2-1)^1/2
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. V, |8 N+ d) }& ~2 x: I (artanhx)'=1/(x^2-1) (|x|<1)
$ N; L1 T& h; j: x' ?, l
! [( Y3 O: Z$ i+ r9 M* g# t (arcothx)'=1/(x^2-1) (|x|>1)
6 Z+ M2 ]7 R- y" ?7 f q) C) B6 ?4 X, U& V8 j' ?# e+ `; c7 T(欢迎访问avcar:https://avcar.vip)
(arsechx)'=1/(x(1-x^2)^1/2)" Y% k7 J+ U6 M0 n0 A(欢迎访问avcar:https://avcar.vip)
+ s1 x$ w) J6 b3 }' O (arcschx)'=1/(x(1+x^2)^1/2) |