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</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;line-heig=
ht:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>,</span><span lang=3DEN-US style=3D'mso-bidi-font=
-size:
10.5pt;line-height:125%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1044" ty=
pe=3D"#_x0000_t75"
style=3D'width:14.25pt;height:8.25pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image037.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D19 height=3D11
src=3D"sxsy05_17.files/image038.gif" v:shapes=3D"_x0000_i1044"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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DrawAspect=3D"Content" ObjectID=3D"_1237578379">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;line-heig=
ht:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>依赖于</span><span lang=3DEN-US
style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if gte vml 1]><v:=
shape
id=3D"_x0000_i1045" type=3D"#_x0000_t75" style=3D'width:9.75pt;height:11.2=
5pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image039.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D13 height=3D15
src=3D"sxsy05_17.files/image040.gif" v:shapes=3D"_x0000_i1045"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
045"
DrawAspect=3D"Content" ObjectID=3D"_1237578380">
</o:OLEObject>
</xml><![endif]--><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>例</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>7</span><=
span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>:设函数</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
id=3D"_x0000_i1046" type=3D"#_x0000_t75" style=3D'width:69.75pt;height:18p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image041.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D93 height=3D24
src=3D"sxsy05_17.files/image042.gif" v:shapes=3D"_x0000_i1046"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
046"
DrawAspect=3D"Content" ObjectID=3D"_1237578381">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;line-heig=
ht:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>,求</span><span lang=3DEN-US style=3D'mso-b=
idi-font-size:
10.5pt;line-height:125%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1047" ty=
pe=3D"#_x0000_t75"
style=3D'width:39pt;height:35.25pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image043.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D52 height=3D47
src=3D"sxsy05_17.files/image044.gif" v:shapes=3D"_x0000_i1047"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
047"
DrawAspect=3D"Content" ObjectID=3D"_1237578382">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;line-heig=
ht:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>。</span><span lang=3DEN-US style=3D'mso-bidi-font=
-size:
10.5pt;line-height:125%'><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>解:</span><span
class=3DGramE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-he=
ight:125%'>D[</span></span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>Exp[z]*Si=
n[x^2*y^3],<span
class=3DSpellE>x,y,z</span>]<o:p></o:p></span></p>
<p class=3DMsoNormal><span style=3D'mso-bidi-font-size:10.5pt;font-family:S=
imSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>例</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'>8</span><span style=3D'mso=
-bidi-font-size:
10.5pt;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi=
-font-family:
"Times New Roman"'>:设</span><span lang=3DEN-US style=3D'mso-b=
idi-font-size:
10.5pt'><sub><!--[if gte vml 1]><v:shape id=3D"_x0000_i1048" type=3D"#_x000=
0_t75"
style=3D'width:6.75pt;height:12pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image045.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D9 height=3D16
src=3D"sxsy05_17.files/image046.gif" v:shapes=3D"_x0000_i1048"><![endif]></=
sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
048"
DrawAspect=3D"Content" ObjectID=3D"_1237578383">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>是</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1049" type=3D"#_x0000_t75" style=3D'width:9.75pt;height:11.2=
5pt'
o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image047.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D13 height=3D15
src=3D"sxsy05_17.files/image040.gif" v:shapes=3D"_x0000_i1049"><![endif]></=
sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
049"
DrawAspect=3D"Content" ObjectID=3D"_1237578384">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>的函数,</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1050" type=3D"#_x0000_t75" style=3D'width:57pt;height:15.75p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image048.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D76 height=3D21
src=3D"sxsy05_17.files/image049.gif" v:shapes=3D"_x0000_i1050"><![endif]></=
sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
050"
DrawAspect=3D"Content" ObjectID=3D"_1237578385">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>,求</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><sub><!--[if gte vml 1]><v=
:shape
id=3D"_x0000_i1051" type=3D"#_x0000_t75" style=3D'width:18pt;height:30.75p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image050.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D24 height=3D41
src=3D"sxsy05_17.files/image051.gif" v:shapes=3D"_x0000_i1051"><![endif]></=
sub><!--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
051"
DrawAspect=3D"Content" ObjectID=3D"_1237578386">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'mso-bidi-font-size:10.5pt;font-fami=
ly:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>,</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt'><o:p></o:p></span></p>
<p class=3DMsoNormal><span style=3D'mso-bidi-font-size:10.5pt;font-family:S=
imSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man";
mso-font-kerning:0pt;mso-bidi-font-weight:bold'>解:</span><span
class=3DGramE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;mso-fon=
t-kerning:
0pt;mso-bidi-font-weight:bold'>D[</span></span><span lang=3DEN-US
style=3D'mso-bidi-font-size:10.5pt;mso-font-kerning:0pt;mso-bidi-font-weigh=
t:
bold'>f[g[t]],x, <span class=3DSpellE>NonConstants</span>->t]<o:p></o:p>=
</span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span style=3D'mso-bidi-font-size:1=
0.5pt;
line-height:125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman";mso-font-kerning:0pt'>结ĉ=
24;为:</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%;mso-font-k=
erning:
0pt'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1052" type=3D"#_x0000_t75" s=
tyle=3D'width:241.5pt;
height:15pt'>
<v:imagedata src=3D"sxsy05_17.files/image052.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D322 height=3D20
src=3D"sxsy05_17.files/image053.gif" v:shapes=3D"_x0000_i1052"><![endif]></=
span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><o:p></o:=
p></span></p>
<p class=3DMsoNormal style=3D'text-indent:21.0pt;mso-char-indent-count:2.0;
line-height:125%;vertical-align:middle'><span style=3D'font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>在</span><span
class=3DSpellE><span lang=3DEN-US>Mathematica</span></span><span style=3D'f=
ont-family:
SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times=
New Roman"'>中,全微分和全ल=
8;数共用函数</span><span
class=3DSpellE><span lang=3DEN-US>Dt</span></span><span style=3D'font-famil=
y:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>来求解,该函数的Ð=
55;体使用格式为:</span></p>
<p class=3DMsoNormal style=3D'text-indent:57.75pt;mso-char-indent-count:5.5;
line-height:125%;vertical-align:middle'><span class=3DSpellE><span lang=3DE=
N-US>Dt</span></span><span
lang=3DEN-US>[f]<span
style=3D'mso-spacerun:yes'> =
</span></span><span style=3D'font-family:SimSun;mso-ascii-font-family:"Time=
s New Roman";
mso-hansi-font-family:"Times New Roman"'>求全微分</=
span></p>
<p class=3DMsoNormal style=3D'text-indent:57.75pt;mso-char-indent-count:5.5;
line-height:125%;vertical-align:middle'><span class=3DSpellE><span lang=3DE=
N-US>Dt</span></span><span
lang=3DEN-US>[<span class=3DSpellE>f,x</span>]<span
style=3D'mso-spacerun:yes'>
</span></span><span style=3D'font-family:SimSun;mso-ascii-font-family:"Time=
s New Roman";
mso-hansi-font-family:"Times New Roman"'>求全导数</=
span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>例</span><span lang=3DEN-US>9</span><span
style=3D'font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-han=
si-font-family:
"Times New Roman"'>:求函数</span><span lang=3DEN-U=
S><!--[if gte vml 1]><v:shape
id=3D"_x0000_i1053" type=3D"#_x0000_t75" style=3D'width:42.75pt;height:18p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image054.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D57 height=3D24
src=3D"sxsy05_17.files/image055.gif" v:shapes=3D"_x0000_i1053"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
053"
DrawAspect=3D"Content" ObjectID=3D"_1237578387">
</o:OLEObject>
</xml><![endif]--></span><span style=3D'font-family:SimSun;mso-ascii-font-f=
amily:
"Times New Roman";mso-hansi-font-family:"Times New Roman"'>的全=
微分和全导数</span></p>
<p class=3DMsoNormal style=3D'line-height:125%;vertical-align:middle'><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
man"'>解:求全微分用</span><span
class=3DSpellE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-h=
eight:
125%'>Dt</span></span><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;
line-height:125%'>[x^2y^3]</span><span style=3D'mso-bidi-font-size:10.5pt;
line-height:125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";
mso-hansi-font-family:"Times New Roman"'>,结果为&#=
65306;</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
id=3D"_x0000_i1054" type=3D"#_x0000_t75" style=3D'width:145.5pt;height:15p=
t'>
<v:imagedata src=3D"sxsy05_17.files/image056.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D194 height=3D20
src=3D"sxsy05_17.files/image057.gif" v:shapes=3D"_x0000_i1054"><![endif]></=
span><span
style=3D'mso-bidi-font-size:10.5pt;line-height:125%;font-family:SimSun;
mso-ascii-font-family:"Times New Roman";mso-hansi-font-family:"Times New Ro=
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