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Product and Quotient derivative practice

Authored by Becky Rahm

12th Grade

Used 1+ times

Product and Quotient derivative practice
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9 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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3x2 – x

x3 + x2+ x

3x2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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f'(x)=(2x5 – 10)/ (x5–5)2

f'(x)=(10x4)/ (x5–5)2

f'(x)=2(x5– 5)/ (x5–5)2

f'(x)=(2x5)/ (x5–5)

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Find the derivative

8x4 -60x2
16x4
(8x4 -60x2)/(2x2-5)2
3x

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the second derivative of the function:
f (x) =  2x - 5x6

f ''(x)= 2 - 30x
f ''(x) =  2-30x5
f ''(x) = -30x5
f ''(x) = -150x4

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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Which shows the quotient rule correctly?

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6.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Find the derivative of y = 2x2 (3x - 4)

6x3 - 8x2
18x2 - 16x
15x- 6x
6x - 4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given that y = (x+2)/(x-3), find y'.

y' = -1/(x-3)2
y' = -5/(x-3)2
y' = (2x-5)/(x-3)2
y' = (2x-1)/(x-3)2

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