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Differentiation rules[Product, Quotient & Chain Rule]

Authored by Dhavaseelan Rajarethinam

Mathematics

University

CCSS covered

Used 532+ times

Differentiation rules[Product, Quotient & Chain Rule]
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20 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Find the derivative of  f(x) = (x6 + 4)5

f '(x) = 5x5(x4 + 4)4
f '(x) = 6x5(x6 + 4)4
f '(x) = 30x5(x6 + 4)4
f '(x) = 30x6(x6 + 4)4

2.

MULTIPLE CHOICE QUESTION

3 mins • 12 pts

Find the derivative of f(x)=(x3-2x)2

6x5 - 12x3+8x
6x5 - 16x3+8x
x6-4x4+4x2
6x5 - 16x3-8x

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

3 mins • 12 pts

Media Image

A

B

C

D

Tags

CCSS.HSN.RN.A.2

CCSS.HSA.SSE.A.2

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

find y' for y=(e5x)+1

5e5x+1

e5x

5e5x

1

Tags

CCSS.HSF-IF.C.8B

5.

MULTIPLE CHOICE QUESTION

3 mins • 12 pts

find y' for y= (2x+1)10

10(2x+1)9

20(2x-1)9

20(2x+1)10

20(2x+1)9

Tags

CCSS.HSA.APR.C.5

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

find y' for y= sin(2x2)

4sin(2x2)

4xcos(2x2)

2xcos(2x2)

xcos(4x2)

7.

MULTIPLE CHOICE QUESTION

3 mins • 12 pts

Differentiate:
f(x) = x7 (5 + 8x)3

f '(x) = x2 (5 + 8x)6 (35 + 80x)
f '(x) = x6 (5 + 8x)2 (35 + 80x)
f '(x) = 8x7 (5 + 8x)2 (35 + 80x)
f '(x) = x6 (5 + 8x)3 (35 + 80x)

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