اﻟﺪوال اﻷﺻﻠﻴﺔ درس ﺗﻤﺎرﻳﻦ ﻓﻲ ( ) ( )2 ( )2
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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
:
