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Chain Rule Quiz

Authored by Janie Ziebell

Mathematics

9th - 12th Grade

CCSS covered

Used 7+ times

Chain Rule Quiz
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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the chain rule used for in calculus?

Multiplying two functions together

Finding the derivative of a composite function

Finding the integral of a composite function

Dividing two functions

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If f(x) = (3x2 + 2x)4, find f'(x).

4(3x2 + 2x)3(6x + 2)

4(3x2 + 2x)3(3x + 2)

12x2(3x + 2)3

4(3x2 + 2x)(6x + 2)

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If g(x) = sin(2x), find g'(x) .

g'(x) = 2sin(2x)

g'(x) = sin(2x)

g'(x) = 2cos(2x)

g'(x) = cos(2x)

Tags

CCSS.HSF.TF.C.9

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

What is the derivative of cos(3x) ?

-3cos(3x)

-3sin(3x)

3cos(3x)

3sin(3x)

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If h(x) = e^(4x), what is h'(x) ?

4e^(4x)

16e^(4x)

4e^(x)

e^(4x)

Tags

CCSS.HSF-IF.C.8B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the derivative of f(x) = cos(x)sin(2x)

cos2x -sin2(2x)

2cos(x)cos(2x) +sin(2x)sin(x)

2cos(x)cos(2x)

  • - sin(2x)sin(x)

2cos(x)cos(2x)

- 2sin(2x)sin(x)

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

If y = (2x + 3)5, what is dy/dx using the chain rule?

10(2x + 3)4

5(2x + 3)4

25(2x + 3)3

10(2x + 3)6

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