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Basic Chain Rule Practice

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.

Find the derivative of y=x6y=x^6  

a)

 6x56x^5  

b)

 5x65x^6  

c)

 6x66x^6  

d)

 6x6x  

2.

Find the derivative of y=(x+6)4 y=\left(x+6\right)^4\   

a)

 4(x+6)34\left(x+6\right)^3  

b)

 3(x+6)43\left(x+6\right)^4  

c)

 24(x+6)324\left(x+6\right)^3  

d)

 4(x+5)34\left(x+5\right)^3  

3.

Find the derivative of y=(x−2)5 y=\left(x-2\right)^5\   

a)

 5(x−2)45\left(x-2\right)^4  

b)

 10(x−2)410\left(x-2\right)^4  

c)

 −10(x−2)4-10\left(x-2\right)^4  

d)

 5(x−2)55\left(x-2\right)^5  

4.

Find the derivative of y=2(x−5)3y=2\left(x-5\right)^3  

a)

 6(x−5)26\left(x-5\right)^2  

b)

 5(x−5)45\left(x-5\right)^4  

c)

 −10(x−5)2-10\left(x-5\right)^2  

d)

 5(x−5)35\left(x-5\right)^3  

5.

Find the derivative of y=2x−3y=2x-3  

a)

 22  

b)

 5x5x  

c)

 6x6x  

d)

 −6x-6x  

6.

Find the derivative of y=2x5−3x4y=2x^5-3x^4  

a)

 10x4−12x310x^4-12x^3  

b)

 7x4−7x37x^4-7x^3  

c)

 24x724x^7  

d)

 −2x7-2x^7  

7.

Find the derivative of y=(8x−3)6y=\left(8x-3\right)^6  

a)

 48(8x−3)548\left(8x-3\right)^5  

b)

 −48(8x−3)5-48\left(8x-3\right)^5  

c)

 14(8x−3)514\left(8x-3\right)^5  

d)

 −14(8x−3)5-14\left(8x-3\right)^5  

8.

Find the derivative of y=(2x−1)3y=\left(2x-1\right)^3  

a)

 6(2x−1)26\left(2x-1\right)^2  

b)

 3(2x−1)23\left(2x-1\right)^2  

c)

 −3(2x−1)2-3\left(2x-1\right)^2  

d)

 −4(2x−1)2-4\left(2x-1\right)^2  

9.

Find the derivative of y=(2−x)5y=\left(2-x\right)^5  

a)

 −5(2−x)4-5\left(2-x\right)^4  

b)

 5(2−x)45\left(2-x\right)^4  

c)

 −10(2−x)4-10\left(2-x\right)^4  

d)

 10(2−x)410\left(2-x\right)^4  

10.

Find the derivative of y=(x2−9)4y=\left(x^2-9\right)^4  

a)

 8x(x2−9)38x\left(x^2-9\right)^3  

b)

 8(x2−9)38\left(x^2-9\right)^3  

c)

 8x(x2−9)48x\left(x^2-9\right)^4  

d)

 8(x2−9)48\left(x^2-9\right)^4