chain rule

chain rule

9th - 12th Grade

8 Qs

quiz-placeholder

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Derivatives

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chain rule

chain rule

Assessment

Quiz

Mathematics

9th - 12th Grade

Medium

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

+1

Standards-aligned

Created by

Xiaoxiao Ma

Used 105+ times

FREE Resource

8 questions

Show all answers

1.

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

2.

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

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

find y' for y= sin(2x2)

4sin(2x2)

4xcos(2x2)

2xcos(2x2)

xcos(4x2)

4.

MULTIPLE CHOICE QUESTION

15 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)

5.

MULTIPLE CHOICE QUESTION

5 mins • 12 pts

Media Image

A

B

C

D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSN.RN.A.2

6.

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

7.

MULTIPLE CHOICE QUESTION

15 mins • 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)

8.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find f'(x)
f(x) = cos2(3x)/(9x4-6)
[-6(9x4-6)cos(3x)sin(3x) - 36x3cos2(3x)]/(9x4-6)2
[-6(9x4-6)sin(3x) - 36x3cos2(3x)]/(9x4-6)2
-6cos(3x)sin(3x)/36x3
[-2(9x4-6)cos(3x)sin(3x) - 36x3cos2(3x)]/(9x4-6)2