Derivadas Parciales

November 15, 2022 | Author: Anonymous | Category: N/A
Share Embed Donate


Short Description

Download Derivadas Parciales...

Description

 

Iki`pnl; Abnnbr nbs oirgvbobs pbrdgbnis oi nb sgjugifti hufdgôf

 h  ( x, y )



  3 3 x  y    xy 3



 x  9 y

 

Fltbdglfis pbrb Oirgvbobs ]brdgbnis Tg z 0 h(x,y), isdrgcg`ls

  h      h   x ( x, y )   h   y ( x,  y )

 z 



 x    h     x     x   h  ( x,  y )   x   O x  h  

   h   y 

   h    y

   

  y

  h  ( x,  y )



 z   y

  O y  h  

Sijnb pbrb Dbndunbr nbs Oirgvbobs ]brdgbnis z 0 h(x,y) ]brb dbndunbr   h   x , dlfsgoçrisi b „y‐ dl`l dlfstbfti y oirgvi b h(x,y) dlf rispidtl b x. 3. ]brb dbndunbr  h   y , dlfsgoçrisi b „x‐ dl`l dlfstbfti y oirgvi b h(x,y) dlf rispidtl b y. 2.

 

Nb Oirgvbob ]brdgbn  h  x (b , c) puioi gftirpritbrsi jil`çtrgdb`ifti dl`l nbs pifogifti oi ridtb tbfjifti if p(b,c,d) b nb trbzb

D 2

oi T if in pnbfl y 0 c

 

Nb Oirgvbob ]brdgbn   h   y ( b , c ) puioi gftirpritbrsi jil`çtrgdb`ifti dl`l nbs pifogifti oi ridtb tbfjifti if p(b,c,d) b nb trbzb D 3 oi T if in pnbfl x 0 b

 

]rlcni`b  

Nb ti`pirbturb if uf puftl (x,y) slcri ufb pnbdb oi `itbn pnbfb 8= istb obob plr 

_ ( x, y )

2   x 3

  y 3

olfoi _ si `goi if »D, y „x‐ y „y‐ if `itrls. Dbnduni nb rbzôf oi db`cgl oi nb ti`pirbturb dlf rispidtl b nb ogstbfdgb bn puftl (3,2) if (b) nb ogriddgôf x. (c) nb ogriddgôf „y‐. Tlnudgôf;   (b) _  x  3= / 4

  _  y (c)

 

2= / 4

If in puftl (3,2) nb ti`pirbturb is oidridgifti if 3=/4»D/` if nb ogriddgôf „x‐ y is oidridgifti if 2=/4»D/` if nb ogriddgôf „y‐

 

Iki`pnl; Abnnbr nbs oirgvbobs pbrdgbnis oi sijufol lroif oi; 3

3

 h  ( x, y)  4  xy    3 y  9 x y y ivbnubr   h   xy ( 2, 3)

3

 

• 

]rlcbr qui  h   xz     h   zx y  h  xzz

  h  ( x, y, z   )    yi x

  x nf z 

 h  

    zxz 

h  zzx pbrb nb hufdgôf

 

OGHISIFDGBNIT 

 

Iki`pnl

 

Sijnb oi nb Dboifb pbrb hufdglfis oi Xbrgbs Xbrgbcnis

Isti `çtlol si usb pbrb abnnbr oirgvbobs oi hufdglfis dl`puistbs

 

Iki`pnl 3; Abnnbr

 z   x

y

 z   y

sbcgifol qui

3

3  3

4 x  z  x  y



 3 z

4



4 yz  9  =

View more...

Comments

Copyright ©2017 KUPDF Inc.
SUPPORT KUPDF