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Chain Rule Day 1

Authored by Kevin Ramm

12th Grade

CCSS covered

Used 22+ times

Chain Rule Day 1
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10 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Find the derivative
f(t) = (t2 + 2t)5

f'(t) = 5(2t+2)4
f'(t) = 5(t2 + 2t)4
 f'(t) = 5(t2 + 2t)4(2t)
f'(t) = 5(t2 + 2t)4(2t + 2)

2.

MULTIPLE CHOICE QUESTION

5 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

3.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Media Image

A

B

C

D

4.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

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

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

5.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find dy/dx for 
y = (x2 + 1)3

dy/dx = 3(x2 + 1)2
dy/dx = 3(2x)2
dy/dx = 6x(x2 + 1)2
dy/dx = 2x(x2 + 1)2

Tags

CCSS.HSF-BF.B.4A

6.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

d/dx (sin2x) = ?

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

7.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Find dy/dx for
(3x - 2x2)3

dy/dx = (3 - 4x)⋅3(3x - 2x2)2
dy/dx = 3(3x - 2x2)2
dy/dx = 3(3 - 4x)2
dy/dx = (3 - 4x)(9x - 18x2)2

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