导数和微分

导数和微分

Info iconThis preview shows pages 1–13. Sign up to view the full content.

View Full Document Right Arrow Icon
± °ê ²n³ ¸ * ²n³ ¸ * ²n³ ¸ * ± PB Ê + ± & + ¸
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
‚4²³“*± ± PB˚™+± 0 s t , 0 0 t s x , , 0 t t s , t t s v = 0 0 t t s s - - = ). ( 2 0 t t g + = , 0 0 0 t t 2 t) (t lim v 0 0 + = g t t s . 0 gt = 2 gt 2 1 s =
Background image of page 2
2. 0 ——
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
, MN 0 M h MT, 0 MT μª C 0 M 0 0 . . 0 , 0 NMT MN ). , ( ), , ( 0 0 y x N y x M s s s MN 0 0 tan x x y y - - = ϕ , ) ( ) ( 0 0 x x x f x f - - = , , 0 x x M N C  → MT . ) ( ) ( lim tan 0 0 0 x x x f x f k x x - - = α = α ϕ→ 2 α ϕ T 0 x x o x y ) ( x f y = C N M x y
Background image of page 4
L²³…“*± : : 0 0 0 ) ( x x f y = ∧… ( , 0 x x x y x x , ) 0 + y x f x x f y - + = ); ( ) ( 0 0 x y x x x lim 0 0 2 2 2 2 2 2 2 , ) ( 0 x x f y = , ) ( 0 2 2 x x f y = , 0 x x y =
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
. ) ( ) ( lim ) ( 0 0 0 0 h x f h x f x f h - + = : . ) ( ) ( lim ) ( 0 0 0 0 x x x f x f x f x x - - = x x f x x f x y y x x x x - + = = = ) ( ) ( lim lim 0 0 0 0 0 , ) ( 0 0 x x x x dx x df dx dy = = :
Background image of page 6
. , 0 0 0 0 x . ) ( , ) ( 0 0 0 0 0 0 0 I x f I x f y = H1²³“*±
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
. ) ( , 2 2 x f I x x x f x x f y x - + = ) ( ) ( lim 0 0 . ) ( ) ( lim ) ( 0 h x f h x f x f h - + = : . ) ( ) ( . 1 0 0 x x x f x f = = . ) ( 2 x f . ) ( ), ( , dx x df dx dy x f y x x
Background image of page 8
2. 0 : 0 : 1. 0 : ; ) ( ) ( lim ) ( ) ( lim ) ( 0 0 0 0 0 0 0 0 x x f x x f x x x f x f x f x x x - + = - - = - - - ; ) ( ) ( lim ) ( ) ( lim ) ( 0 0 0 0 0 0 0 0 x x f x x f x x x f x f x f x x x - + = - - = + + + ) ( x f s 0 x s & & ) ( 0 x f - ) ( 0 x f + Ξ
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
) ( x f s ( 29 b a , 0 0 & ) ( a f + ) ( b f - 2 ) ( x f s [ ] b a , 0 .
Background image of page 10
‚:²³“*± : : ); ( ) ( ) 1 ( x f x x f y - + = ; ) ( ) ( ) 2 ( x x f x x f x y - + = . lim ) 3 ( 0 x y y x = 1 . ) ( ) ( 0 0 0 C C x f = : h x f h x f x f h ) ( ) ( lim ) ( 0 - + = h C C h - = 0 lim . 0 = . 0 ) ( = C s
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
& 2 . ) (sin ) (sin , sin ) ( 4 π = = x x x x x f s s s s : h x h x x h sin ) sin( lim ) (sin 0 - + = 2 2 sin ) 2 cos( lim 0 h h h x h + = . cos x = . cos ) (sin x x = 4 4 cos ) (sin π = π = = x x x x .
Background image of page 12
Image of page 13
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 09/28/2010 for the course MATH 210 taught by Professor Drzhao during the Spring '10 term at Kansas State University.

Page1 / 59

导数和微分

This preview shows document pages 1 - 13. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online