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عالم الاشتقاق

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عالم الاشتقاق

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تحدي الاشتقاق للصف العاشر

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Lama Lok
Lama Lok
Jordan

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عالم الاشتقاق
 

عالم الاشتقاقOnline version

تحدي الاشتقاق للصف العاشر

by Lama Lok
1

ما هو اشتقاق f(x)=X³

2

ما اشتقاق f(x)=X²

3

ما مشتقة F(x)=x⁴

4

ما اشتقاق F(x)= x²+ 3x؟

5

ما مشتقة f(x)=3x +4 +x⁵

6

إذا كانت f(x)=x²، ما قيمة f'(2)؟

7

أي مما يلي صحيح؟ اشتقاق دالة ذات قاعدة ثابتة يساوي؟

8

ما مشتقة f(x)=6

9

ما مشتقة F(x)=√8

10

اشتقاق الدالة f(x)=5x³

11

ما مشتقة f(x)=2x⁵

12

ما اشتقاق الدالة f(x)=(x²) + (x³)؟

13

إذا كان f(x)=x² وg(x)=x، فاشتقاق f(x)+g(x)؟

14

لإيجاد القيم العظمى والصغرى باستخدام الاشتقاق، ما المطلوب؟

15

F(x)= x–6x+5 ماهي القيمة الصغرى المعلية لهذه الدالة

16

أكمل: اشتقاق الدالة d/dx [x² + 3x + 1] يساوي؟

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قاعدة القوة تقول n·x^{n-1} فهنا 3·x^2.

💡 مشتقة x^n هي: n.x^n-1 💡 مشتقة العدد الثابت تساوي صفر 💡مشتقة ax تساوي a

اشتقاق الجمع هو جمع اشتقاقات أجزائها.

اشتقاق x² هو 2x، عند x=2 تعطى 4.

الثابت مشتقته صفر.

قاعدة القوة: 3·5·x^{3-1}=15x^2.

التفاضل يطبق على كل جزء بشكل مستقل.

اشتقاق x^2 هو 2x، واشتقاق x هو 1.

نقاط الاشتقاق وتحقق شروط التثبيت تستخدم لتحديد القيم العظمى والصغرى.

الاشتقاق يطبق على كل حد كما هو: 2x + 3 + 0.

 
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