Derivatives - Product and Chain Rule

Derivatives - Product and Chain Rule

10th - 12th Grade

14 Qs

quiz-placeholder

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Derivatives - Product and Chain Rule

Derivatives - Product and Chain Rule

Assessment

Quiz

Mathematics

10th - 12th Grade

Medium

CCSS
HSF.IF.A.2, HSA.APR.A.1

Standards-aligned

Created by

Alicia Martinez

Used 3+ times

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find y' if y = tan(3x2+2).
sec2(3x2+2)
6xsec2(3x2+2)
6xsec2x(3x2+2)
sec2(6x)

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Differentiate:
f(x) = x7 (5 + 8x)3
f '(x) = 168x6(5+8x)2
f '(x) = 24x7(5+8x)2+7x6(5+8x)3
f '(x) = 3x7(5+8x)2+7x6(5+8x)3
f '(x) = x6 (5 + 8x)3 (35 + 80x)

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative

f(t) = sin(x)(x2 + 2x)5

f'(x) = -cos(x)*(x2 + 2x)5+ (10x+10)sin(x)*(x2 + 2x)4

f'(x) = cos(x)*(x2 + 2x)5+ (10x+10)sin(x)*(x2 + 2x)4

f'(x) = cos(x)*(x2 + 2x)5+ 10xsin(x)*(x2 + 2x)4

f'(x) = cos(x)*(x2 + 2x)5 - (10x+10)sin(x)*(x2 + 2x)4

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of f(x) = 3x2(x6 + 4)5

f '(x) = 6x(x6 + 4)5 + 90x7(x6 + 4)4

f '(x) = x(x6 + 4)5 + 90x7(x6 + 4)4

f '(x) = 6x(x6 + 4)5 + 30x7(x6 + 4)4

f '(x) = 6x(x6 + 4)5 + 90x(x6 + 4)4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of f(x)=4x(x3-2x)2

4(x3-2x)2 +8x(x3-2x)(3x2 + 2)

4(x3+ 2x)2 +8x(x3-2x)(3x2 - 2)

4(x3-2x)2 +8x(x3-2x)(3x2 - 2)

4(x3-2x)2 +8(x3-2x)(3x2 - 2)

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

find y' for y= 3(2x+1)10

30(2x+1)9

60(2x-1)9

30(2x+1)10

60(2x+1)10

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

find y' for y= 3xsin(2x2)

3sin(2x2) -12xcos(2x2)

3sin(2x2) +4xcos(2x2)

sin(2x2) +12xcos(2x2)

3sin(2x2) +12xcos(2x2)

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