Differentiation 2

Differentiation 2

10th - 12th Grade

40 Qs

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Differentiation 2

Differentiation 2

Assessment

Quiz

10th - 12th Grade

Easy

CCSS
HSF-IF.C.8B, HSF.LE.B.5, HSF-BF.B.4A

+2

Standards-aligned

Used 2+ times

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40 questions

Show all answers

1.

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

2.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

d/dx (sin2x) = ?

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

3.

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

4.

MULTIPLE CHOICE QUESTION

45 sec • 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)

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

d/dx (sin3(4x-6)) = ?

-24x-5 ⋅ cos (4x-6) ⋅ 3sin2(4x-6)
-24x-7 ⋅ cos (4x-6) ⋅ 3sin2(4x-6)
-24x-7 ⋅ 3cos2(4x-6)
3cos2(-24x-5)

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Set up the derivative of y=(3x- 7)*(5x+ 1)

(12x3)*(10x)
(3x4 - 7)*(10x) + (12x3)*(5x2 + 1)
(3x4 - 7)*(10x) - (12x3)*(5x2 + 1)
(3x4 - 7)/(10x) + (12x3)/(5x2 + 1)

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Which of the following is the derivative of g(x)= (x2)(2x4 + 2)5 ?

g'(x)= (2x)(2x4 + 2) 5 + (x2)(5(2x4 + 2)4(8x3))

g'(x)= 2x + 8x3

g'(x)= (2x)(2x4 + 2)5 + (x2)(8x3)

g'(x)= (2x)(5(2x4 + 2)5(8x3)) + (x2)(2x4 + 2)

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