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الإشتقاق

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

 y=x4y=x^4  مشتقة الدالة 

a)

4x

b)

 4x34x^3  

c)

 4x54x^5  

d)

 x3x^3  

2.

 f(x)=1xf\left(x\right)=\frac{\text{1}}{\text{x}}  ,  ..  

a)

 f(x)=1xf'\left(x\right)=\frac{1}{x}  

b)

 f(x)=1x2f'\left(x\right)=-\frac{1}{\text{}x^2}  

c)

 f(x)=1x2f'\left(x\right)=\frac{1}{\text{x}^2}  

d)

 f(x)=1xf'\left(x\right)=-\frac{1}{x}  

3.

 f(x)=xf\left(x\right)=\sqrt{x}  

a)

 f(x)=2xf'\left(x\right)=2\sqrt{x}  

b)

 f(x)=1xf'\left(x\right)=\frac{1}{\sqrt{x}}  

c)

 f(x)=12xf'\left(x\right)=\frac{1}{2\sqrt{x}}  

d)

 f(x)=1xf'\left(x\right)=-\frac{1}{\sqrt{x}}  

4.

 x=\sqrt{x}=  

a)

 x12x^{\frac{1}{2}}  

b)

 x2x^2  

c)

 12x\frac{1}{2}x  

d)

 2x2x  

5.

مشتقة الدالة
 f(x)=x5x+πf\left(x\right)=x^5-x+\pi  

a)

 5x41+π5x^4-1+\pi  

b)

 5x415x^4-1  

c)

 5x4x5x^4-x  

d)

 x4πx^4-\pi  

6.

 y=x4y=x^4  مشتقة الدالة 

a)

4x

b)

 4x34x^3  

c)

 4x54x^5  

d)

 x3x^3  

7.

 f(x)=x56f\left(x\right)=x^{\frac{5}{6}}  

a)

 f(x)=56x16f'\left(x\right)=\frac{5}{6}x^{\frac{1}{6}}  

b)

 f(x)=65x16f'\left(x\right)=\frac{6}{5}x^{\frac{1}{6}}  

c)

 f(x)=56x16f'\left(x\right)=\frac{5}{6x^{\frac{1}{6}}}  

d)

 f(x)=65x16f'\left(x\right)=\frac{6}{5x^{\frac{1}{6}}}  

8.

 f(x)=3x7f\left(x\right)=3x^{-7}  

a)

 f(x)=21x6f\left(x\right)=-\frac{21}{x^6}  

b)

 f(x)=21x8f\left(x\right)=-\frac{21}{x^8}  

c)

 f(x)=21x6f\left(x\right)=\frac{21}{x^6}  

d)

 f(x)=21x8f\left(x\right)=\frac{21}{x^8}  

9.

 f(x)=x2020f\left(x\right)=x^{2020}  

a)

 f(x)=2019x2020f'\left(x\right)=2019x^{2020}  

b)

 f(x)=2020x2019f'\left(x\right)=2020x^{2019}  

c)

 f(x)=2020f'\left(x\right)=2020  

d)

 f(x)=2019f'\left(x\right)=2019  

10.

أوجد مشتقة الضرب للدالة :
 f(x)=(2χ25)(x+3)f\left(x\right)=\left(2\chi^2-5\right)\left(x+3\right)  

a)

 6x2+76x^2+7  

b)

 6x2+12x56x^2+12x-5  

c)

 77  

d)

 6x76x-7