Quiz about Derivatives

Question 1

Question 1.

Accepted Answer

cosx

Answer

-cosx

Answer

-sinx cosx

Answer

sinx cosx

Question 2

Question 2.

Accepted Answer

-sinx

Answer

sinx

Answer

-cscx cotx

Answer

sec2x

Question 3

Question 3.

Accepted Answer

-cscx cotx

Answer

secx tanx

Answer

sec2x

Answer

cscx cotx

Question 4

Question 4.

Accepted Answer

secx tanx

Answer

-secx tanx

Answer

tan2x

Answer

cscx cotx

Question 5

Question 5.

Accepted Answer

-csc2x

Answer

-cscx cotx

Answer

cscx cotx

Answer

csc2x

Question 6

Find the derivative of the given equation
f(x) = -4x

Accepted Answer

-4

Answer

4

Answer

x

Answer

0

Question 7

Find the derivative of the given equation
f(x) = 1 - x²

Accepted Answer

-2x

Answer

1 - 2x

Answer

-2

Answer

-1

Question 8

Find the derivative of the given equation
f(x) = 1/x²

Accepted Answer

-2x-3

Answer

1/2x

Answer

-2x

Answer

2x

Question 9

Solve f '(2) for
f(x) = x² + 2x

Accepted Answer

6

Answer

2x + 2

Answer

12

Answer

2x

Question 10

Find the derivative of the given equation
f(x) = x⁴ + 4x³- 2x²

Accepted Answer

4x³ + 12x²- 4x

Answer

x³ + x²- x

Answer

4x³ + 12x²+ 4x

Answer

4x + 12x - 4x

Question 11

Differentiate y= 12x^-2

Accepted Answer

-24x-3

Answer

24x-1

Answer

-24x-1

Answer

6x-3

Question 12

Find the gradient of y= 3x² - 5 where the point x = 2

Accepted Answer

12

Answer

10

Answer

11

Answer

13

Question 13

Differentiate f(x) =(2/ x⁵) - 5.

Accepted Answer

-10x-6

Answer

x5-3

Answer

-10x6

Answer

x5-5

Question 14

Find the gradient of y= t³ - 4t² +1 at the point where t=3

Accepted Answer

3

Answer

6

Answer

1

Answer

2

Question 15

Given f(x)' = x²+ 12x + 32, at what points is the gradient 0?

Accepted Answer

-4 and -8

Answer

4 and -8

Answer

4 and 8

Answer

3 and -12

Question 16

Set up the derivative of y=(3x⁴- 7)*(5x²+ 1)

Accepted Answer

(3x⁴ - 7)*(10x) + (12x³)*(5x² + 1)

Answer

(12x³)*(10x)

Answer

(3x⁴ - 7)*(10x) - (12x³)*(5x² + 1)

Answer

(3x⁴ - 7)/(10x) + (12x³)/(5x² + 1)

Question 17

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

Accepted Answer

18x² - 16x

Answer

6x³ - 8x²

Answer

15x2 - 6x

Answer

6x - 4

Question 18

Find the derivative of y = 3x²at x = 4

Accepted Answer

24

Answer

12

Answer

32

Answer

48

Question 19

Question 19.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

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

Accepted Answer

(-3x²+4x +6)/(x²+2)²

Answer

9x2+2

Answer

3(x²+2)/(x²+2)²

Answer

(-3x²+10)/(x²+2)²

Question 21

Find the derivative.

Accepted Answer

x⁴cosx + 4x³sinx

Answer

x⁴cosx - 4x³sinx

Answer

4x3cosx

Answer

-4x3cosx

Question 22

The equation of the tangent to y=1/x at x=3 is

Accepted Answer

y=-1/9x+2/3

Answer

y=1/3x+1/3

Answer

y=1/9x+9

Answer

y=1/9x

Question 23

.

Accepted Answer

(3x²-2)cos(x³-2x)

Answer

-(3x²-2)cos(x³-2x)

Answer

cos(2x²-2)

Answer

sin(2x²-2)

Question 24

The position function x(t)=t³+6t²+16t-18 is given on the interval of 0

Accepted Answer

196

Answer

197

Answer

190

Answer

18

Question 25

f' is given, which could be f?

Accepted Answer

C

Answer

A

Answer

B

Question 26

At which x-value is f continuous but not differentiable?

Accepted Answer

a

Answer

b

Answer

c

Answer

d

Question 27

Find dy/dx by Implicit Differentiation
xy = 6

Accepted Answer

-y/ x

Answer

-x/ y

Answer

-6y/ x

Answer

y/x

Question 28

Find the second derivative of
f(x) = x²+ e^x - cosx

Accepted Answer

f"(x) = 2 + e^x + cosx

Answer

f"(x) = 2x + e^x + cosx

Answer

f"(x) = 2x + xe^x - cosx

Answer

f"(x) = 2x + e^x + sinx

Question 29

Question 29.

Accepted Answer

csc x

Answer

cos x

Answer

sec x

Answer

cot x

Question 30

Question 30.

Accepted Answer

cot x

Answer

csc x

Answer

sec x

Answer

tan x

Question 31

Question 31.

Accepted Answer

sec x

Answer

csc x

Answer

cot x

Answer

tan x

Question 32

How many derivatives can you take of a function?

Accepted Answer

until you can no longer derive it

Answer

only 3

Answer

only 2

Answer

only 1

Question 33

Find h'(3)

Accepted Answer

1

Answer

-2

Answer

0

Answer

3

Question 34

Question 34.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 35

Where is the graph neither continuous nor differentiable?

Accepted Answer

x = -1, 0, 1

Answer

x = -1, 0, 1, 2

Answer

x = -1, 1

Answer

x = -1, 0, 2

Question 36

7

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 37

What is the limit?

Accepted Answer

20

Answer

Infinity

Answer

DNE

Answer

12

Question 38

What is the limit?

Accepted Answer

17/3

Answer

5/2

Answer

-2/3

Answer

Infinity

Question 39

If the position of a particle is represented by s(t) = t² + 2, what is its instantaneous velocity at t = 1?

Accepted Answer

2 ft/sec

Answer

1 ft/sec

Answer

3 ft/sec

Answer

4 ft/sec

Question 40

If the position of a particle is represented by s(t) = t² + 2, what is its average velocity from [0, 1]?

Accepted Answer

1 ft/sec

Answer

2 ft/sec

Answer

3 ft/sec

Answer

4 ft/sec

Question 41

Find the derivative f(x) = xe^x

Accepted Answer

f'(x) = e^x + xe^x

Answer

f'(x) = e^x

Answer

f'(x) = xe^x + xe^x

Answer

f'(x) = e^x - xe^x

Question 42

Question 42.

Accepted Answer

4

Answer

2

Answer

0

Answer

Does not exist

Question 43

Question 43.

Accepted Answer

infinity

Answer

0

Answer

-1

Answer

-infinity

Question 44

Question 44.

Accepted Answer

5

Answer

1/5

Answer

1

Answer

Does not exist

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