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?????? ??????? ????? ???? ?????? f(x) = x(1 + e^{-2x})? ??? ??? ??????? ?? ??????? ??? ???? ????? ??????? ??? ?????????. ??? ???? ??????? ?????? ?? ?????? ?? ?????????? ??????? ???????? ???????. ?? ???????? ??? ????? ??? ????? ?????? ??? ???????? ??????.

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??Pr:HAMID?? ??????? ??????????? 9002?????? ?9 ???? ?1? ?e2x?? ??f ( x)=x ( 2x?? ????? ????? ??????? ? f????????????? ? x???????? ??? ?? : )? ?1+ ?e?? ?????? ? C??????? ????? ????? ? f?? ???? ?????? ????? ? , ? , ?. (O?? ?)?i j?? ??1?e?2x?? ?( ? f ( x )=x??? ? x??? ?. ??? ?) ??2x?? ?1_??(???? ?? ?? :? ?5,0? ??1+e?? ???2xe?2x?? ?= ? f ( x )?x??? ? x??? ?. ??? ???2x?? ??(?? ?? ????? ? f?????? ???? ?1? ??1+e?? ???2xe?2x?? ?? lim??? ??????? ??? ?0= ??2x?? ??( ?? ??: ¡Þ+=)? lim f ( x????? ?1? ??????? ?????? ?????????????? ??x ¡ú+¡Þ 1+e?? ?¡Þ+¡ú ?x?? ?????????? )? ( D??? ? ?????? ? y= x??????? ??????? ) ? (C?????? ¡Þ+ .? ?2_ ?? ?? ?????? ) ? (C?????? ? ? ????????? )? ( D?? ?????? [ ¡Þ+;0 [? ?5,0? ??e 4x ?1+4xe 2x?? ?=)? f ' ( x??? ? x??? ? ??????? ?? ?? : 0=)0( ' ?f?? ??2x?? ?2? ?3_ ?( ?? ?? :? ?1? ?)1+ ?(e?? ??( ?? ??: 0?1? ? e 4x??? ? x??? [ ¡Þ+;0 [ ?? ??????? ?? 0??e 4x ?1+4xe 2x?? ?5,0? ??( ?? ???? ????? ????? ? f?? [ ¡Þ+;0 [ .? ?5,0? ?4_????? ?????? ) ? (C?? ????? ) ? , ? , ?(O?? ??i j?? ?1? ?)????? ?? ??????? ) ? (C?????? ?????? ??????? ?? ??????(?
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2009rat

  • 1. ??Pr:HAMID?? ??????? ??????????? 9002?????? ?9 ???? ?1? ?e2x?? ??f ( x)=x ( 2x?? ????? ????? ??????? ? f????????????? ? x???????? ??? ?? : )? ?1+ ?e?? ?????? ? C??????? ????? ????? ? f?? ???? ?????? ????? ? , ? , ?. (O?? ?)?i j?? ??1?e?2x?? ?( ? f ( x )=x??? ? x??? ?. ??? ?) ??2x?? ?1_??(???? ?? ?? :? ?5,0? ??1+e?? ???2xe?2x?? ?= ? f ( x )?x??? ? x??? ?. ??? ???2x?? ??(?? ?? ????? ? f?????? ???? ?1? ??1+e?? ???2xe?2x?? ?? lim??? ??????? ??? ?0= ??2x?? ??( ?? ??: ¡Þ+=)? lim f ( x????? ?1? ??????? ?????? ?????????????? ??x ¡ú+¡Þ 1+e?? ?¡Þ+¡ú ?x?? ?????????? )? ( D??? ? ?????? ? y= x??????? ??????? ) ? (C?????? ¡Þ+ .? ?2_ ?? ?? ?????? ) ? (C?????? ? ? ????????? )? ( D?? ?????? [ ¡Þ+;0 [? ?5,0? ??e 4x ?1+4xe 2x?? ?=)? f ' ( x??? ? x??? ? ??????? ?? ?? : 0=)0( ' ?f?? ??2x?? ?2? ?3_ ?( ?? ?? :? ?1? ?)1+ ?(e?? ??( ?? ??: 0?1? ? e 4x??? ? x??? [ ¡Þ+;0 [ ?? ??????? ?? 0??e 4x ?1+4xe 2x?? ?5,0? ??( ?? ???? ????? ????? ? f?? [ ¡Þ+;0 [ .? ?5,0? ?4_????? ?????? ) ? (C?? ????? ) ? , ? , ?(O?? ??i j?? ?1? ?)????? ?? ??????? ) ? (C?????? ?????? ??????? ?? ??????(?
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