ﺙ "ی ا ون اه ﺍﳌﺎﺩﺓ :ﺍﻟﺮﻳﺎﺿﻴﺎﺕ ( ' ﻡ&$% ﺳﻠﺴﻠﺔ ﺭﻗﻢ5/ א : ﻡ*"ى ا*' ا ك (,-ا",م ا$ی( • ﻡ*" 2م اة و ارض • ﻡ* 2ا",م ا4ی3 • ﻡ* 2ا",م ا4را ﺕ$ی 1اا fا [∞ [ 0; +آ: .1د ادی +ا"+,, b ∀x ∈ [ 0; +∞[ f ( x ) = a + 2 )( x + 1 .1 د ﻡ اوال ا ا [ 0; +∞[ f .2 د اا ا Fا fﺏ"! F (1) = 3 ﺕ$ی 2اا fا ] [ 0; πآ : f ( x ) = x cos x − sin x أf ′ ( x ) $% .1 5 .2د اا ا Fا fﺏ"! 2 1 x f ( x ) = 2 x2 + x + 1 + اﺱ(' ﻡ اوال ا Gا g .2 ا آ g ( x ) = x sin x − cos x : π ﺕ$ی 3اا f +و gا 0; +آ : 2 x g ( x ) = cos 2 f ( x ) = tan 2 xو 2 د ﻡ اوال ا ا f +و g ﺕ$ی 4د ﻡ اوال ا وال ا : x = )f ( x f ( x ) = 5 x 4 + 3x + 1 2 2 )( x − 1 x 2 x +1 3 x2 = )f ( x 3 8+ x )f ( x ) = ( 2 x − 1 f ( x ) = x x2 + 1 )f ( x ) = sin ( 4 x − 1 [∞ [ 0; +آ : 2 )( x + 1 اذ : اا ا f [∞ [1; +آ f ( x) = x x −1 .1ﺏ +أن + x − 1 : 3 )( x − 1 = )f ( x [∞∀x ∈ [1; + ﺕ$ی 7اا fا » آ: 2 4 5 x + 40 x + 20 x + 80 2 )+ 4 2 (x = )f ( x .1د ااد ا" a ,,و bو c ax + b = ) ∀x ∈ [ 0; +∞[ f ( x ﺏ"! + c : 2 2 x + 4 ( ) .2د اا ا Fا fﺏ"! F ( 0 ) = c 2 f ( x ) = ( sin x ) cos x ﺕ$ی 5اا fا x2 + 2 x = )F (1 ﺕ$ی6 = )f ( x f ( x ) = 3x + 1 ) f ( x ) = cos ( 2 x + 8 a .2د اا ا Fا fﺏ"! F ( 2 ) = 1 د اا ا Gا gﺏ"! G (π ) = 0 .3 و b ﺏ"!: : = )f ( x 1ﻡ 1 :