.MCAD 304020000 1 73 86 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 0.989583 1.200000 1.200000 0 .CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty* .CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .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 .CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=14 bold=0 italic=0 underline=0 colrid=-1 .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=Arial points=14 bold=0 italic=0 underline=0 colrid=5 .CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1 .CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1 .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 .CMD COLORTAB_ENTRY 255 0 255 .CMD COLORTAB_ENTRY 0 255 255 .CMD COLORTAB_ENTRY 255 255 255 .CMD COLORTAB_ENTRY 10 36 106 .TXT 5 12 41 0 0 Cg a61.875000,61.875000,21 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard Iterative Derivatives} .EQN 2 42 42 0 0 {0:x}NAME:-2,-1.97;4 .TXT 6 -50 43 0 0 Cg a69.875000,69.875000,17 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard Take the function} .EQN 0 19 45 0 1 {0:f}NAME({0:x}NAME):({0:x}NAME)^(3)-2*({0:x}NAME)^(2)-3*{0:x}NAME-4 .TXT 5 -19 46 0 0 Cg a69.875000,69.875000,69 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard and compute iterative derivatives f'(x), f''(x), ... and graph them.} .TXT 6 0 52 0 0 Cg a69.875000,69.875000,26 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard the derivative is called g} .EQN 0 27 53 0 0 {0:g}NAME({0:x}NAME):{0:x}NAME"{0:f}NAME({0:x}NAME) .EQN 9 -9 67 0 0 {0:x}NAME"{0:f}NAME({0:x}NAME){63}3*({0:x}NAME)^(2)-4*{0:x}NAME-3 .TXT 11 -18 62 0 0 Cg a69.875000,69.875000,34 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard let's call the second derivative h} .EQN 0 37 64 0 0 {0:h}NAME({0:x}NAME):((2,{0:x}NAME,{0:f}NAME({0:x}NAME)){62}) .EQN 6 -19 77 0 0 ((2,{0:x}NAME,{0:f}NAME({0:x}NAME)){62}){63}6*{0:x}NAME-4 .TXT 8 -18 70 0 0 Cg a69.875000,69.875000,30 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard ...a dn the third derivative k} .EQN 2 37 71 0 0 {0:k}NAME({0:x}NAME):((3,{0:x}NAME,{0:f}NAME({0:x}NAME)){62}) .EQN 9 -18 76 0 0 ((3,{0:x}NAME,{0:f}NAME({0:x}NAME)){62}){63}6 .TXT 14 -19 75 0 0 Cg a69.875000,69.875000,39 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard here is the graph of all four functions} .EQN 3 -1 73 0 0 6&-10&(_n_u_l_l_&_n_u_l_l_)&{0:f}NAME({0:x}NAME),{0:g}NAME({0:x}NAME),{0:h}NAME({0:x}NAME),{0:k}NAME({0:x}NAME)@4&-2&(_n_u_l_l_&_n_u_l_l_)&{0:x}NAME 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 0 1 0 0 2 2 NO-TRACE-STRING 0 1 1 0 2 2 NO-TRACE-STRING 0 2 6 0 3 3 NO-TRACE-STRING 0 4 3 0 2 2 NO-TRACE-STRING 0 1 4 0 2 2 NO-TRACE-STRING 0 2 5 0 1 1 NO-TRACE-STRING 0 3 6 0 1 1 NO-TRACE-STRING 0 4 0 0 1 1 NO-TRACE-STRING 0 1 1 0 1 1 NO-TRACE-STRING 0 2 2 0 1 1 NO-TRACE-STRING 0 3 3 0 1 1 NO-TRACE-STRING 0 4 4 0 1 1 NO-TRACE-STRING 0 1 5 0 1 1 NO-TRACE-STRING 0 2 6 0 1 1 NO-TRACE-STRING 0 3 0 0 1 1 NO-TRACE-STRING 0 4 1 0 1 1 NO-TRACE-STRING 0 1 2 58 48 14 0 3 .TXT 61 2 78 0 0 Cg a68.875000,68.875000,52 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard ____________________________________________________} .TXT 6 0 79 0 0 Cg a68.875000,68.875000,39 {\rtf\ansi \deff0{\colortbl;\red0\green0\blue128;}{\fonttbl{\f0 \fcharset0\fswiss Arial;}}\plain\cf1\fs28 \pard Try also the following functions for f:} .EQN 5 0 82 0 0 {0:f}NAME({0:x}NAME):{0:ln}NAME({0:x}NAME) .EQN 7 0 86 0 0 {0:f}NAME({0:x}NAME):({0:ln}NAME({0:x}NAME)+{0:x}NAME)/({0:exp}NAME({0:x}NAME))