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Chain Rule

Authored by Rebecca Doty

Mathematics

11th - 12th Grade

CCSS covered

Used 36+ times

Chain Rule
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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative of:
f(x) = (x2 +1)6

12(x2 + 1)6
12x(x2 + 1)6
12x(x2 + 1)5
12(x2 + 1)5

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the derivative of:
f(x) = 7(3x + 4)5

35(3x + 4)5
35(3x + 4)4
105(3x + 4)5
105(3x + 4)4

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

 48(8x−3)548\left(8x-3\right)^5  

 −48(8x−3)5-48\left(8x-3\right)^5  

 14(8x−3)514\left(8x-3\right)^5  

 −14(8x−3)5-14\left(8x-3\right)^5  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

 −5(2−x)4-5\left(2-x\right)^4  

 5(2−x)45\left(2-x\right)^4  

 −10(2−x)4-10\left(2-x\right)^4  

 10(2−x)410\left(2-x\right)^4  

Tags

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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

 8x(x2−9)38x\left(x^2-9\right)^3  

 8(x2−9)38\left(x^2-9\right)^3  

 8x(x2−9)48x\left(x^2-9\right)^4  

 8(x2−9)48\left(x^2-9\right)^4  

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

find y' for y= sin(2x2)

4sin(2x2)

4xcos(2x2)

2xcos(2x2)

xcos(4x2)

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find dy/dx if y = cos5x

5cos4x
-5sin4x
5cos4xsinx
-5cos4xsinx

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