GSP4Y Some supplementary information in this document was created by a newer version of Sketchpad and cannot be read. The document will open as a copy.Some supplementary information in this document was created by a newer version of Sketchpad and cannot be read. The document will open as a copy.oSome supplementary information in this document was created by a newer version of Sketchpad and cannot be read.QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$%L1 intro` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman ArialNe0''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'0Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro!9 q<<0><0>>q<S !9 `  ` }UEhttp://www.mathnstuff.com/math/spoken/here/2class/420/derivatives.htm.nQ\aADerivatives Web Page}U'j !Q\\  \ }mAhttp://www.mathnstuff.com/math/gsp/sumr19/su19newgsp/DerAnyFx.gsp&nQ\aA DerAnyFx.gspe}m !Q\h  h }Khttp://www.mathnstuff.com/math/gsp/sumr19/su19newgsp/tracef.f1.f2.f3.f4.gsp@0nQ\aAtracef.f1.f2.f3.f4.gsp} !Q\d  d }Hhttp://www.mathnstuff.com/math/gsp/sumr19/su19newgsp/derivativeTests.gsp,nQ\aAderivativeTests.gsp}QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$"}L1 ex 1` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman ArialNe$$$0''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro)!9 @`p@4(!9  4\.4@C: &!```  nQ\aAx7(!Q\ 7\.D@: &!```Q\  nQ\aAy=' Q\   !Q\ &]xA3!   <0>nQ\aAm[1]0 3!Q\r <0>ge R0 Cxs)epXvh$֚pc ` `E8!Q\  !Q\ & fx1 ! &l$ݿx2A3!    J<0>nQ\aAm[2]A3!Q\    <0>0 3!Q\ j Q<0>wy J0^<4 ` ` E8!Q\ !Q\@>*> O!Q\^ <0>w  >0^?YY@??nQ\aAy2:> !Q\    4nQ\aAf > !Q\   cnQ\aAf' > !Q\   nQ\aAf'' !Q\XX6E 6N!Q\<:8& 8P!Q\XXE>-#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$mL2 ex 2` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman<0 ArialNeg''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro)!9 Ё@f@4(!9  4`.Y@C: &!```  nQ\aAx7(!Q\ 7r\.#@: &!```Q\  nQ\aAy=' Q\   !Q\ &ZcpxA3!    <0>nQ\aAm[1]0 3!Q\z <0> Z0Cxs)epXvh$֚pc```E8!Q\  !Q\ &Vcx1 ! &$x2 !f & ֟ @x3A3!    C<0>nQ\aAm[2]A3!Q\    n<0>A3!fQ\    E<0>0 3!Q\z D<0> Z0^<4 `` ``!Q\@>*>0 3!Q\v n<0>ge V0 ^<4 ```E8!Q\E8!Q\> !Q\    tnQ\aAf> !Q\   wEnQ\aAf'> !Q\   yknQ\aAf''!Q\XX8E8gP!Q\<::&x:R!Q\XXzE>z -#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$L3 ex 3` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman<0 ArialNeg''''''$'f$'$'$'f$'$'$'$'$'$' f$' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro)!9 @s@4(!9  4\.eL@C: &!```  nQ\aAx7(!Q\ 7\.rW@: &!```Q\  nQ\aAy=' Q\   !Q\ &j xA3!   <0>nQ\aAm[1]0 3!Q\b <0> B0Cxs)epXvh$֚pc ` E8!Q\  !Q\ &qkx1 ! &tIx2 !f &Ix3A3!    =<0>nQ\aAm[2]A3!Q\    h<0>A3!fQ\    <0>0 3!Q\b ><0>   B0^<4 ` ` E8!Q\!Q\<:8&x8P0 3!Q\h h<0>p  H0^<4 ` ` 0 3!fQ\h <0>:/ H0^<4 ` ` E8!Q\E8!fQ\!Q\XX6E6N!Q\XXE> (#-#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$ɐL4 ex41` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman<0 ArialNe''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro)!9 @`p@4(!9  4\.4@C: &!```  nQ\aAx7(!Q\ 7\.D@: &!```Q\  nQ\aAy=' Q\   !Q\ &NfP7xA3!   n<0>nQ\aAm[1]0 3!Q\b <0>g  B0Cxs)epXvh$֚pc`E8!Q\  !Q\ &۞:x1 ! &3HM5x2 !f &.{x3A3!    m7<0>nQ\aAm[2]A3!Q\    jb<0>0 3!Q\b  :<0>g  B0^<4 ``E8!Q\!Q\<:f&f]!Q\XX E #!Q\<: &n %!Q\XXE>> !Q\    nQ\aAf> !Q\   >nQ\aAf'0 3!Q\b e<0>g  B0^7$ ``> !Q\   dnQ\aAf''-#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$>L5 extra` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman ArialNeg''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro)!9 @`p@4(!9  4\.4@C: &!```  nQ\aAx7(!Q\ 7\.D@: &!```Q\  nQ\aAy=' Q\   !Q\ &x(xA3!   <0>nQ\aAm[1]0 3!Q\r <0>ge R0 Cxs)epXvh$֚pc ` `E8!Q\  !Q\ &x1 ! &RTx2 !f &45;x3A3!    =<0>nQ\aAm[2]A3!Q\    h<0>A3!fQ\    <0>0 3!Q\j ><0>ed J0^<4 ` ` E8!Q\!Q\@>*> O!Q\^ i<0>g  >0^?YY@??nQ\aAy2iA}-#QThat document was created with a newer version of Sketchpad and cannot be opened.|This document was created with a newer version of Sketchpad. Some information may be lost. The document will open as a copy.$TS)L6 - f, f', f'' w/tanLine` a b c d e f g h i j k l m n o p q r s _ ,#GSP5_w_1074K/Apr 19 20130#`Times New Roman ArialNe$$$$$''''''$'$'$'$'f$'$'$'$'$'$' $' $' $' ```$' @@@$'%'&''''8'8'8'9':'0<'Times New Roman_0<'Times New Roman_&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro&<''ArialNew Ro!9 @`}@ 9!9 v N<<0>g  V0 )epIvh$T֚pcnQ\aAfN<k4(!Q\ 4DS@: &!```Q\  nQ\aAx7(!Q\ 7\.7@: &!```Q\  nQ\aAy=' Q\   !Q\ &9h? "Q\  !Q\  ? ?nQ\aAAG 9!Q\  <0>T1 s j0Cx)epIvh$T֚pc p  p   nQ\aAgH:"Q\ ( /Gkx[d;7>@ !Q\ &.UjϿB/"  b-!  bCA3!    <0>nQ\aAm[1]0 3!Q\ b <0>:/ B0zs)j+sth$֕pcp` I;!Q\86#>>>I;!Q\86#>>>G 9!Q\ b <0>@@ B0zs)j+sth$֕pcp s0 3! b <0>p  B0zs)j+sth$֕pcp` nQ\aAf'I;!Q\88$>>> !Q\І@p~@4(!Q\ 4Dk[@7(!Q\ 7p\.5@: &!```Q\  nQ\aAy: &!```Q\  nQ\aAx=' Q\  G 9!Q\n T<0>  N0 zs)j+sth$֕pc` ` `f[1]G 9!  SG<0>T1 s l0zs)j+sth$֕pc p  p    t 0 3! b G<0>   B0zs)j+sth$֕pcp` I;!DB@/>>>oH:! ( akgfBd^@> !$    w2nQ\aAf, f', f'', tangent line !Q\<:s&.>> sQ\  G 9!Q\ r X^<0>ed R0 ^7$ `p`  ` `g[1], H:" %( l ъdO+@G 9!r X<0>g  R0 ^7$ `p`  ` `h[1],H:! '( J/G n+@H:" ( ViAsJBj,@-#