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Derivatives- Chain Rule

Authored by Alyssa Guider

12th Grade

Used 5+ times

Derivatives- Chain Rule
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5 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find dy/dx if y = cos5x

5cos4x
-5sin4x
5cos4xsinx
-5cos4xsinx

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find f '(x) if f(x) = x4sinx

4x3cosx
x4cosx
x4cosx + 4x3sinx
-x4cosx + 4x3sinx

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is f'(x) if f(x) = cos(5x4)?

f'(x) = sin(20x3)
f'(x) = 20x3 sin(5x4)
f'(x) = -sin(20x3)
f'(x) = -20x3 sin(5x4)

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the derivative f(x) = (x2 + 2x)5

f'(x) = 5(2x+2)4
f'(x) = 5(x2 + 2x)4
 f'(x) = 5(x2 + 2x)4(2x)
f'(x) = 5(x2 + 2x)4(2x + 2)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Find the derivative of the given equation
f(x) = 7

7
0
7x
14

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