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Power Rule Derivatives

Authored by Mitchell Williamson

10th - 11th Grade

Used 4+ times

Power Rule Derivatives
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9 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

FInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x

-2x2 - x + 9
-2x2 + x + 9
2x2 - x + 9
2x2 - x - 9

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

f(x)= 9/∛x
f'(x) =

9x-1/3
-3x-4/3
-9x2/3
-3x2/3

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Find the derivative.
 f(z) = 1/(3z2) + 4z3

f'(z) = 6z3 + 12z2
f'(z) = 6z + 12x2
f'(z) =  -2/(3z3) + 12z2
f'(z) = -6/z2 + 12z2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

What is the derivative?

A
B
C
D

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

How many derivatives can you take of a function?

only 3
only 2
only 1
until you can no longer derive it

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the derivative of f?

1/(x - 1)-1

-1/(x - 1)-2

-1/(x - 1)

-1/(x - 1)2

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Differentiate f(x) =(2/ x5) - 5.

x5-3
-10x6 
x5-5
-10x-6 

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