الأربعاء، 6 مايو، 2015

الدالة الضمنية



 الدالة الضمنية
هي الدالة التي يتم فيها التعبير عن قيمة ص بدلالة س بشكل غير مباشر
مسائل منوعة
(i)                           ص2 = س2 + 5                   
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(ii)                        ( 1 – س ) ص = 1 + س
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(iii)                      2س – 3ص + 7 = 0
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(iv)                     جاس + جاص = ص
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(v)                        مطبوعات الابداع س +  ص – 4 = 0
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(vi)                     س3 + ص3 = 27
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(vii)                   س ص = 1
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(viii)                ص2 = س ص + 1
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(ix)                      س3 + ص3 = 8 س ص2
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(x)                        ص2 + س2 + 3س ص = 6
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(xi)                      مطبوعات الابداعس جاص + ص جاس = 1
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(xii)                   ص = جتا( س2 + ص )
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(xiii)                 إذا كان س2 – 5س ص + ص2 – 7 = 0 جد  عندما س = 1
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(xiv)                س2 + ص2 – 2س – 4ص = 5 جد  عند النقطة (2 ، -1)
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 د2س
د2ص
 
المشتقات العليا
            i.            إذا كان ص = 2س2 – 5  اثبت ان :    س2        – س  = صفر
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 د3س
د3ص
 
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         ii.            ص =  جد  
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       iii.            مطبوعات الابداع
 د3س
د3ص
 
    س
س + 1
 
ص =            جد
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      iv.            أس2 + ب س = ص   جد المشتقة الثانية       
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 د2س
د2ص
 
 د3س
د3ص
 
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         v.            ص = (س2 + 3)2   اثبت ان :          + س         - 3 =صفر
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 د3س
د3ص
 
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      vi.            ص = جتا2س اثبت ان :         = 8 عند س =
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