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Basic Derivative Rules 20 Questions

Authored by Debra Zapp

Mathematics

12th Grade

CCSS covered

Used 41+ times

Basic Derivative Rules 20 Questions
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20 questions

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1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of g(x)=(3x-2)/(x2+2)

9x2+2

3(x2+2)/(x2+2)2

(-3x2+4x +6)/(x2+2)2

(-3x2+10)/(x2+2)2

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of y = x4⋅cos x

y' = x4 cosx - 4x3sinx

y' = 4x3 cosx - x4sinx

y' = 4x3 cosx + x4sinx

y' = -4x3cosx

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative f(x) = tanxcosx

f'(x) = sec2xcosx - tanxsinx
f'(x) = sec2xcosx + tanxsinx
f'(x) = sec2xsinx
f'(x) = sec2xcosx - tanxcosx

Tags

CCSS.HSF.IF.C.8

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

FInd the derivative:
f(x) = (-2/3)x3 - (1/2)x2 + 9x

-2x2 - x + 9
-2x2 + x + 9
2x2 - x + 9
2x2 - x - 9

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the derivative of y = 2x2 (3x - 4)

6x3 - 8x2
18x2 - 16x
15x- 6x
6x - 4

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

f(x)= -1/∛x

f'(x) =

3x43-3x^{\frac{4}{3}}

x43x^{-\frac{4}{3}}

9x23-9x^{\frac{2}{3}}

1x43-1x^{\frac{4}{3}}

Tags

CCSS.HSF-BF.B.4A

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the derivative of tan(x)?

tan(x)
sec(x)
tan2(x)
sec2(x)

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