.MCAD 304020000 1 74 32 0
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=3 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 0.979167 1.200000 1.200000 0
.CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty*
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.CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFAULT_TEXT_PARPROPS 0 0 0
.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
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.CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=14 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=2 family=Georgia points=14 bold=0 italic=0 underline=0 colrid=5
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.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1
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.CMD UNITS U=1
.CMD DIMENSIONS_ANALYSIS 0 0
.CMD COLORTAB_ENTRY 0 0 0
.CMD COLORTAB_ENTRY 128 0 0
.CMD COLORTAB_ENTRY 0 128 0
.CMD COLORTAB_ENTRY 128 128 0
.CMD COLORTAB_ENTRY 0 0 128
.CMD COLORTAB_ENTRY 128 0 128
.CMD COLORTAB_ENTRY 0 128 128
.CMD COLORTAB_ENTRY 128 128 128
.CMD COLORTAB_ENTRY 192 192 192
.CMD COLORTAB_ENTRY 255 0 0
.CMD COLORTAB_ENTRY 0 255 0
.CMD COLORTAB_ENTRY 255 255 0
.CMD COLORTAB_ENTRY 0 0 255
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.CMD COLORTAB_ENTRY 255 255 255
.TXT 4 27 32 0 0
Cg a70.000000,70.000000,15
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard {\fs36\b0 f '(x) as Limit}}
.TXT 5 -24 3 0 0
Cg a71.000000,71.000000,21
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard Given is the function}
.EQN 0 24 14 0 1
{0:f}NAME({0:x}NAME):({0:x}NAME)^(4)-2*{0:x}NAME
.TXT 4 -24 16 0 0
Cg a71.000000,71.000000,3
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard and}
.EQN 0 7 17 0 1
{0:a}NAME:1
.TXT 4 -7 19 0 0
Cg a64.750000,64.750000,71
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard find f '(x) as limit 
of the differential quotient (slope of the secant)}
.TXT 4 0 20 0 0
Cg a71.000000,71.000000,41
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard again we choose a 
small increment for h, }
.EQN 0 45 21 0 1
{0:d}NAME:0.01
.TXT 5 -45 22 0 0
Cg a71.000000,71.000000,58
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard Then h will be 
lowered by this until it is very close to 0}
.EQN 5 16 23 0 0
{0:h1}NAME:10*{0:d}NAME
.EQN 0 16 24 0 0
{0:h2}NAME:9*{0:d}NAME
.EQN 0 18 25 0 0
{0:h10}NAME:{0:d}NAME
.EQN 4 -34 26 0 0
{0:h}NAME:{0:h1}NAME,{0:h2}NAME;{0:h10}NAME
.EQN 5 0 27 0 0
{0:diffquot}NAME({0:h}NAME):({0:f}NAME({0:a}NAME+{0:h}NAME)-{0:f}NAME({0:a}NAME))/({0:h}NAME)
.TXT 7 -15 28 0 0
Cg a70.000000,70.000000,103
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0
\fcharset0\froman Georgia;}}\plain\cf1\fs28 \pard The following table 
expresses the slope of the secants for different\par (smaller and 
smaller) values of h.}
.EQN 9 15 29 0 0
{0:h}NAME=
.EQN 0 8 30 0 0
{0:diffquot}NAME({0:h}NAME)=