📄 sxsy05_17.mht
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lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
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src=3D"sxsy05_17.files/image018.gif" v:shapes=3D"_x0000_i1033"><![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=
man"'>,这表示函数值在Õ=
06;间</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
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ht:
125%;font-family:SimSun;mso-ascii-font-family:"Times New Roman";mso-hansi-f=
ont-family:
"Times New Roman"'>间振荡。</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"'>例</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>6</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"'>:观察求极限</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_i1035" type=3D"#_x0000_t75" style=3D'width:86.25pt;height:33p=
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<v:imagedata src=3D"sxsy05_17.files/image021.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D115 height=3D44
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<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%'>Limit[</span></span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>(Sin[x]+x=
)/(<span
class=3DSpellE>x+<st1:place w:st=3D"on">Cos</st1:place>[x])^Sin[x],x->In=
finity]</span><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"'>系统回应&#=
65306;</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
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</v:shape><![endif]--><![if !vml]><img width=3D337 height=3D20
src=3D"sxsy05_17.files/image024.gif" v:shapes=3D"_x0000_i1036"><![endif]><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"'>这说明系&#=
32479;在无法计算极限时ʌ=
92;将原表达式照样返回=
。</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'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"'>(二)<span
class=3DGramE>微商和</span>微分</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'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"'>在</span><span class=3DSpell=
E><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>Mathemati=
ca</span></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"'>中,用于求微商(ë=
48;数)的函数为</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>D[]</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"'>,其具体的使用格ó=
35;和功能如下:</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:63.0pt;mso-char-indent-count:6.0;
line-height:125%;vertical-align:middle'><span lang=3DEN-US style=3D'mso-bid=
i-font-size:
10.5pt;line-height:125%'>D[<span class=3DSpellE>f,x</span>]<span
style=3D'mso-spacerun:yes'> </span><span
style=3D'mso-spacerun:yes'> =
</s=
pan></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"'>计算偏导数</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_i1037" type=3D"#_x0000_t75" style=3D'width:27pt;height:30.75p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image025.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D36 height=3D41
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<p class=3DMsoNormal style=3D'text-indent:63.0pt;mso-char-indent-count:6.0;
line-height:125%;vertical-align:middle'><span class=3DGramE><span lang=3DEN=
-US
style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>D[</span></span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>f,x1,x2,&=
#8230;]<span
style=3D'mso-spacerun:yes'> =
</span></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-f=
amily:
"Times New Roman"'>计算高阶偏导数=
</span><span
lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if g=
te vml 1]><v:shape
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<v:imagedata src=3D"sxsy05_17.files/image027.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D76 height=3D45
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--[if gte mso 9]><xml>
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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'text-indent:63.0pt;mso-char-indent-count:6.0;
line-height:125%;vertical-align:middle'><span lang=3DEN-US style=3D'mso-bid=
i-font-size:
10.5pt;line-height:125%'>D[f,{<span class=3DSpellE>x,n</span>}]<span
style=3D'mso-spacerun:yes'> =
&nb=
sp;
</span></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-f=
amily:
"Times New Roman"'>计算</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_i1039" ty=
pe=3D"#_x0000_t75"
style=3D'width:9.75pt;height:11.25pt' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image029.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D13 height=3D15
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--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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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"'>阶偏导数</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_i1040" type=3D"#_x0000_t75" style=3D'width:32.25pt;height:33p=
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--[if gte mso 9]><xml>
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</xml><![endif]--><o:p></o:p></span></p>
<p class=3DMsoNormal style=3D'text-indent:63.0pt;mso-char-indent-count:6.0;
line-height:125%;vertical-align:middle'><span class=3DGramE><span lang=3DEN=
-US
style=3D'mso-bidi-font-size:10.5pt;line-height:125%'>D[</span></span><span
class=3DSpellE><span lang=3DEN-US style=3D'mso-bidi-font-size:10.5pt;line-h=
eight:
125%'>f,x,NonConstants</span></span><span lang=3DEN-US style=3D'mso-bidi-fo=
nt-size:
10.5pt;line-height:125%'>->{v1,v2,…}]<span
style=3D'mso-spacerun:yes'> </span></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"'>计算</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_i1041" type=3D"#_x0000_t75" style=3D'width:27pt;height:30.75p=
t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image025.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D36 height=3D41
src=3D"sxsy05_17.files/image026.gif" v:shapes=3D"_x0000_i1041"><![endif]><!=
--[if gte mso 9]><xml>
<o:OLEObject Type=3D"Embed" ProgID=3D"Equation.DSMT4" ShapeID=3D"_x0000_i1=
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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"'>,其中</span><span lang=3DEN-US
style=3D'mso-bidi-font-size:10.5pt;line-height:125%'><!--[if gte vml 1]><v:=
shape
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t' o:ole=3D"">
<v:imagedata src=3D"sxsy05_17.files/image033.wmz" o:title=3D""/>
</v:shape><![endif]--><![if !vml]><img width=3D15 height=3D24
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--[if gte mso 9]><xml>
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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=
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10.5pt;line-height:125%'><!--[if gte vml 1]><v:shape id=3D"_x0000_i1043" ty=
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style=3D'width:12pt;height:18pt' o:ole=3D"">
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</v:shape><![endif]--><![if !vml]><img width=3D16 height=3D24
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--[if gte mso 9]><xml>
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