User Manual

2-29
:ـﻛ f' (a) ـﻟ ﺓﺭﻭﺎﺍ ﺔﻤﻴﻘﻟﺍ ﺔﻴﺑﺎﺴﺣ ﺔﻴﻤﻠﻋ ﺀﺍﺩﺃ ﻊﻣ ،Ax ﺓﺮﻴﻐﺻ ﺓﺮﺘﻔﺑ ﺮﻴﻐﺻ ﻲﻫﺎﻨﺘﻣ ﻝﺪﺒﺘﺴﻳ ،ﻒﻳﺮﻌﺘﻟﺍ ﺍﺬﻫ ﻲﻓ
y
= x
3
+ 4x
2
+ x – 6 ﺔﻔﻴﻇﻮﻠﻟ x = 3 ﻲﻓ ﻖﺘﺸﳌﺍ ﺪﻳﺪﺤﺘﻟ ﻝﺎﺜﳌﺍ
ﺔﻔﻴﻇﻮﻟﺍ ﻞﺧﺩﺃ
f(x)
AK4(CALC)2(d/dx)vMde+evx+v-ge
.ﻪﻘﺘﺸﻣ ﺪﻳﺪﲢ ﺪﻳﺮﺗ ﻱﺬﻠﻟ
x = a ﺔﻄﻘﻧ ﻞﺧﺩﺃ
dw
ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻟﺍ ﺔﻔﻴﻇﻭ ﻲﻓ ﻝﻭﻷﺍ ﻖﺘﺸﳌﺍ ﺔﻔﻴﻇﻭ ﻡﺍﺪﺨﺘﺳﺍ
ﻲﻧﺎﻴﺒﻟﺍ ﻢﺳﺮﻠﻟ ﻲﻟﺎﺘﻟﺍ ﺐﻴﻛﺮﺘﻟﺍ ﻡﺍﺪﺨﺘﺳﺍ ﺔﻄﺳﺍﻮﺑ 2-28 ﺔﺤﻔﺻ ﻲﻓ ﺐﻴﻛﺮﺘﻟﺍ ﻲﻓ a ﺔﻤﻴﻘﻟﺍ ﻝﺎﺧﺩﺇ ﻑﺬﺣ ﻚﻨﻜﳝ •
.
a ﺔﻤﻴﻘﻟﺍ ﻦﻋ ﻻﺪﺑ X ﺮﻴﻐﺘﳌ ﺔﻤﻴﻘﻟﺍ ﻡﺪﺨﺘﺴﺗ ،ﺔﻟﺄﺴﳌﺍ ﻩﺬﻫ ﻲﻓ .Y2 = d/dx (Y1) :ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ
ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺕﺎﻃﺎﻴﺘﺣﺍ
ﺍﺪﻋ ﺎﻣ Z ﻰﻟﺍ A ﻦﻣ) ﻯﺮﺧﻷﺍ ﺕﺍﺮﻴﻐﺘﳌ ﺞﻟﺎﻌﺗ ﻭ .ﺕﺍﺭﺎﺒﻌﻟﺍ ﻲﻓ ﺮﻴﻐﺘﳌ ﻂﻘﻓ X ﻡﺍﺪﺨﺘﺳﺍ ﻦﻜﳝ ،f(x) ﺔﻔﻴﻇﻮﻟﺍ ﻲﻓ •
.ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﻝﻼﺧ ﺎﻬﻘﻴﺒﻄﺗ ﻢﺘﻳ ﻲﻟﺎﳊﺍ ﺩﺪﻌﺘﻤﻠﻟ ﺔﻨﻴﻌﳌﺍ ﺔﻤﻴﻘﻟﺍ ﻭ ،ﺖﺑﺍﻮﺜﻛ (
X ،r ،θ
ﻞﻄﻌﻳ (ﺽﺮﻌﻟﺍ ﺔﺷﺎﺷ ﻰﻠﻋ ﺮﺷﺆﳌﺍ ﺭﻮﻬﻇ ﻡﺪﻋ ﺪﻨﻋ) ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻤﻠﻌﻟﺍ ﺀﺎﻨﺛﺃ
A ﻰﻠﻋ ﻂﻐﻀﻟﺎﺑ •
.ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ
:ﻲﻠﻳ ﺎﻤﻴﻓ ﺄﻄﳋﺍ ﻥﻮﻜﻳ ﻭ ﺔﺤﻴﺤﺻ ﺮﻴﻏ ﺔﺠﻴﺘﻧ ﻰﻟﺇ ﺎﻧﺎﻴﺣﺃ ﻝﻮﺻﻮﻟﺍ ﻦﻜﳝ •
x ﻢﻴﻗ ﻲﻓ ﺔﻠﺻﺍﻮﺘﻣ ﺮﻴﻏ ﻁﺎﻘﻧ -
x ﻢﻴﻗ ﻲﻓ ﺔﻐﻟﺎﺒﻣ ﺕﺍﺮﻴﻐﺗ -
x ﻢﻴﻘﻟﺍ ﻲﻓ ﺔﻴﻠﶈﺍ ﻰﻧﺩﻷﺍ ﺔﻄﻘﻧﻭ ﺔﻴﻠﶈﺍ ﻰﺼﻗﻷﺍ ﺔﻄﻘﻨﻟﺍ ﲔﻤﻀﺗ -
x ﻢﻴﻗ ﻲﻓ ﻒﻳﺮﺼﺘﻟﺍ ﺔﻄﻘﻧ ﲔﻤﻀﺗ -
x ﻢﻴﻗ ﻲﻓ ﺔﻔﻠﺘﺨﻣ ﺮﻴﻏ
ﻁﺎﻘﻧ ﲔﻤﻀﺗ -
.ﺮﻔﺻ ﻰﻟﺍ ﺔﺑﺭﺎﻘﺘﻣ ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺔﺠﻴﺘﻧ
-
.ﺔﻴﺜﻠﺜﳌﺍ ﺔﻴﻟﻭﻷﺍ ﺕﺎﻘﺘﺸﳌﺍ ﺀﺍﺩﺃ ﺪﻨﻋ ﺔﻳﻭﺍﺰﻟﺍ ﺓﺪﺣﻮﻛ (
Rad ﻊﺿﻭ ) ﺔﻳﺮﻄﻘﻟﺍ ﻒﺼﻨﻟﺍ ﺔﻳﻭﺍﺯ ﻡﺍﺪﺨﺘﺳﺎﺑ ﻢﻗ •
ﺔﻴﻠﻤﻌﻟﺍ ﺮﻴﺒﻌﺗ ﻭﺃ ،ﻞﳊﺍ ،ﻯﺮﺒﻜﻟﺍ/ﻯﺮﻐﺼﻟﺍ ﺔﻤﻴﻘﻟﺍ ،
Σ ،ﻞﻣﺎﻜﺘﻟﺍ ﻭ ،ﻲﻧﺎﺜﻟﺍ ﻖﺘﺸﳌﺍ ﻭ ،ﻝﻭﻷﺍ ﻖﺘﺸﳌﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻦﻜﳝ ﻻ •
.ﻝﻭﻷﺍ ﻖﺘﺸﻤﻠﻟ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺢﻠﻄﺼﻣ ﻞﺧﺍﺩ
RndFix ﺔﻴﺑﺎﺴﳊﺍ
f
(
a
+
A
x
)–
f
(
a
)
f
(
a
)
–––––––––––––
A
x
'
ⱌ