)}  capm 5}R5}6 A! }}Compton's-SubscriptComptn's-SuperscriptCourier Eurosti  R. Carver 9/95Lucida Handwriting ItalicMonaco Most GenevaMT ExtraNew Century SchlbkNew Yo9>Z% }}ACompton's-SubscriptComptn's-SuperscriptCourier EurostiCCf H% }}B[< @Y(tZj[LZOfOfOg4OUCCL )+!}}Compton's-SubscriptComptn's-SuperscriptCourier Eurostizy=f(x) owLucida Handwriting ItalicMonaco Most GenevaMT ExtraNew Century SchlbkXCز!:}}R` NI4PR <[`HH4SpWe can approximate the slope of the tangent line by using another point Q, on f(x) and constructing the line PQ. PQ.mm@@*L%mOh@OV0!Oe$4HTem<O NO!t}} YU$ZOhlOSOh(OU m(secant PQ)=)=Of ZG`xO +S`+S`S,nA!}}Compton's-SuprscriptCourier EurostileGvvm(secant PQ)= y / xiting ItalicMonaco Most GenevaMT ExtraNewPtury SchlbkNew YorkPalatin-mpto!s}}Compton's-SuperscriptCourie EurostileGeneva Helvetica#:As point Q gets closer to point P, x gets closer to zero.ntury SchlbkNew YtO CGcCGccHsH ::@@*LԹ:Oh,OV5"_!}}\$ HX\4OeOfhOeOU":And secant line PQ gets closer to becoming tangent line PQZtO 7$]7$]]%p%::@@*L:OhOVoc!}}0Op0OgUUUUx^hHH xpage 3^|d8OjOh\Op<OgUUUUx^tO ' '0 AŐ$ }6}COfUUUUxZHHOdCYCL N N fO#fUU}2 }xZHHOf[L<[CCL@tP n&@OcmOCزCCN 8=@ }B}?P n&@OemOCزC/N  Yp^u@ }B}@Q n&@OemOC1dB:p SX?5 } }X n&@Ocm?OCCL 'an L }}jCompton's-SubscriptComptn's-SuperscriptCourier EurostiC1dB:pCزC/N?Vestil }}m5lveticaLucida HandwritingMonaco MostGenevaMT ExtraN Q: cp3 3 } }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}JCoordinate(Point Q): HH#! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}| Ostil }}m6lveticaLucida HandwritingMonaco MostGenevaMT ExtraN P: cp3 3 } }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}JCoordinate(Point P): HH#! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}| ##2Com }}m1Courier EurostileGneva HelveticaHelvetica Narrow X: cp3 3 } }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}JCoordinate(Point X): HH#! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}| n}}m9 '{D:y{l:Q} y{l:P}}{x{l:Q} x{l:P}} = }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}J(y[Q] y[P]]/(x[Q] x[P]] = #! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}|3#Bf }}m2HH   x{l:X} = y{l:P}}{x{l:Q} x{l:P}} = }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}Jx = ] y[P]]/(x[Q] x[P]] = #! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}|C#R }}m4  0.25{!:*}x{u:2} = }{x{l:Q} x{l:P}} = }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}Jy= 0.25*x^2 = (x[Q] x[P]] = #! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}|>S#b }}m6  x 1 = }x{u:2} = }{x{l:Q} x{l:P}} = }}@@p@pH^6\,}}}p}X}x}x1b}6<HH}F}Jx 1 = x^2 = (x[Q] x[P]] = #! #fMM! MM! p- @+;}}@RJ~*dX}h}p}x+`+j}+;(}p@@ @(},}@RJ~*d}}}R%r)G@Y}f%r"&v#@&v@@@%@Etclut #y}|SXan L };}ECompton's-SubscriptComptn's-SuperscriptCourier EurostiCC   SXan L };}ICompton's-SubscriptComptn's-SuperscriptCourier EurostiCCX  O2'Handwr}?}ECompton's-SubscriptComptn's-SuperscriptCourier Eurosti2 02'vetica}?}ICompton's-SubscriptComptn's-SuperscriptCourier Eurosti2