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Basic Chain Rule Practice

Authored by Robert McLean

Mathematics

11th - 12th Grade

Used 28+ times

Basic Chain Rule Practice
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10 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=x6y=x^6  

 6x56x^5  

 5x65x^6  

 6x66x^6  

 6x6x  

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

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

 4(x+6)34\left(x+6\right)^3  

 3(x+6)43\left(x+6\right)^4  

 24(x+6)324\left(x+6\right)^3  

 4(x+5)34\left(x+5\right)^3  

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=(x2)5 y=\left(x-2\right)^5\   

 5(x2)45\left(x-2\right)^4  

 10(x2)410\left(x-2\right)^4  

 10(x2)4-10\left(x-2\right)^4  

 5(x2)55\left(x-2\right)^5  

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=2(x5)3y=2\left(x-5\right)^3  

 6(x5)26\left(x-5\right)^2  

 5(x5)45\left(x-5\right)^4  

 10(x5)2-10\left(x-5\right)^2  

 5(x5)35\left(x-5\right)^3  

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=2x3y=2x-3  

 22  

 5x5x  

 6x6x  

 6x-6x  

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=2x53x4y=2x^5-3x^4  

 10x412x310x^4-12x^3  

 7x47x37x^4-7x^3  

 24x724x^7  

 2x7-2x^7  

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative of y=(8x3)6y=\left(8x-3\right)^6  

 48(8x3)548\left(8x-3\right)^5  

 48(8x3)5-48\left(8x-3\right)^5  

 14(8x3)514\left(8x-3\right)^5  

 14(8x3)5-14\left(8x-3\right)^5  

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