Free Printable Basic Derivatives

1.

Find f'(x) if f(x)=x²

a)

2x

b)

x²

c)

2

d)

2x²

2.

Find g'(x) if g(x)=4x³

a)

12x³

b)

4x²

c)

3x⁴

d)

12x²

3.

What is sin(π)?

a)

0

b)

1

c)

-1

d)

undefined

4.

What is cos(2π)?

a)

0

b)

1

c)

-1

d)

undefined

5.

What is tan(3π/2)?

a)

0

b)

1

c)

-1

d)

undefined

6.

a)

b)

c)

d)

7.

What is the derivative of xⁿ?

a)

(n-1)xⁿ

b)

nxⁿ⁺¹

c)

(n+1)x^n-1

d)

nx^n-1

8.

Find the derivative of the given function
f(x) = 7

a)

7

b)

0

c)

7x

d)

14

9.

Find the average rate of change of Pete's height from 3 years old to 5 years old.

a)

2 inches per year

b)

8 inches per year

c)

2 years

d)

4 inches per year

10.

From the table, determine if a limit exists at 2 and, if so, what is it?

a)

yes the limit exists; .8

b)

no the limit does not exist

c)

yes the limit exists; 2

d)

yes the limit exits; 8

11.

Find the limit as x approaches 1.

a)

0

b)

3

c)

DNE

d)

∞

12.

Calculate the derivative of y

a)

y' = 1000x⁹⁹⁹

b)

y' = 1000x¹⁰⁰⁰

c)

y' = 1000x

d)

y' = 999x⁹⁹⁹

13.

a)

15x²

b)

(5/4)x⁴

c)

indeterminate

d)

∞

14.

It's the average rate of change of the equation $y=3x^2+4x-2$ on the interval [-2, 1].

a)

0

b)

1

c)

2

d)

3

15.

$y=x^2-2$

What is the slope of the line tangent to the graph of the function above at x = 8?

a)

2

b)

-4

c)

-8

d)

-16

16.

f'(x)=

a)

$\lim_{h\rightarrow0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)$

b)

$\lim_{x\rightarrow c}\left(\frac{f\left(x\right)-f\left(c\right)}{x-c}\right)$

c)

Formula for the instant rate of change (IROC) of a function.

d)

Slope function

17.

$\lim_{x\rightarrow2}\left(\frac{x^2-4}{x-2}\right)$

a)

2

b)

4

c)

6

d)

8

18.

$\lim_{x\rightarrow1}\ \frac{\sqrt{x^2+3x}-2}{x-1}$ is the instantaneous rate of change of what function at what value of the domain?

a)

$f\left(x\right)=\sqrt{x^2-3x}-2$ at $x=1$

b)

$f\left(x\right)=\sqrt{x^2-3x}$ at $x=2$

c)

$f\left(x\right)=\frac{\sqrt{x^2-3x}}{x-1}$ at $x=1$

d)

$f\left(x\right)=\sqrt{x^2-3x}$ at $x=1$

19.

Thanksgiving is on the ... of November

a)

First Thursday

b)

Second Thursday

c)

Third Thursday

d)

Fourth Thursday

20.

American Football has long been a Thanksgiving Day tradition. Two NFL teams always play on Thanksgiving Day. Which team started the tradition?

a)

Detroit Lions

b)

New England Patriots

c)

Dallas Cowboys

d)

Green Bay Packers

21.

Wild turkeys can fly at speeds of up to ____

a)

10 mph

b)

25 mph

c)

55 mph

d)

100 mph

e)

Wild turkeys can't fly.

22.

Wild turkeys can run at speeds of up to ____

a)

10 mph

b)

25 mph

c)

75 mph

d)

100 mph

e)

Turkeys can't run.

23.

There is a long tradition of the US President "pardoning" a turkey before Thanksgiving. While there is much debate of how old the tradition is, the first official pardon was given by...

a)

Harry Truman

b)

Bill Clinton

c)

Theodore Roosevelt

d)

George H.W Bush

e)

Abraham Lincoln

24.

In what year did the first Macy's Thanksgiving parade take place?

a)

1950

b)

1909

c)

1924

d)

1971

25.

Which president was the first to establish Thanksgiving a National Holiday?

a)

Abraham Lincoln

b)

Franklin Roosevelt

c)

Theodore Roosevelt

d)

Thomas Jefferson

Basic Derivatives

Total questions: 25

Worksheet time: 46mins

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