Quiz about Calculus Final Review

Question 1

Question 1.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 2

Question 2.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 3

Question 3.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 4

Question 4.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 5

Question 5.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 6

Question 6.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

Question 7.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

Question 8.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 9

Question 9.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Question 10.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 11

Question 11.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 12

Question 12.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 13

Question 13.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 14

Question 14.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 15

Question 15.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 16

Question 16.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 17

Question 17.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 18

Question 18.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 19

Question 19.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 20

Question 20.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 21

Question 21.

Accepted Answer

2

Answer

0

Answer

3

Answer

4

Question 22

Question 22.

Accepted Answer

4

Answer

Does not exist

Answer

6

Answer

3

Question 23

Question 23.

Accepted Answer

0

Answer

2

Answer

3

Answer

4

Question 24

Question 24.

Accepted Answer

DNE

Answer

0

Answer

3

Answer

4

Question 25

Question 25.

Accepted Answer

2

Answer

0

Answer

1

Answer

DNE

Question 26

Find the slope of the tangent line to f(x) = -3x²-6x at x = 1.

Accepted Answer

m = -12

Answer

m = 0

Answer

f'(x) = -6x - 6

Answer

f'(x) = 6x

Question 27

Find the derivative of f(x) = 6x³⁰-2x¹⁵ + 4x³ - 2x + 1

Accepted Answer

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² - 2

Answer

f'(x) = 18x²⁹+ 30x¹⁵ + 12x³

Answer

f'(x) = 180x²⁹ - 30x¹⁴+ 12x²

Answer

f'(x) = 180x²⁹ - 30x¹⁴+ 12x² +1

Question 28

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle?

Accepted Answer

v(t) -2t - 1

Answer

v(t) = -2

Answer

v(t) = t3

Answer

v(t) = -t

Question 29

Find the derivative. f(x) = -8x^-3 + 5x - e²

Accepted Answer

f'(x) = 24x^-4 + 5

Answer

f'(x) = -24x^-4 + 5 - e^x-1

Answer

f'(x) = 24x^-2 + 5

Answer

f'(x) = 24x^-4 + 5 - e

Question 30

Find the derivative. f(x) = 1/(3x²) + 4x³

Accepted Answer

f'(x) = -2/(3x³) + 12x²

Answer

f'(x) = 6x³ + 12x²

Answer

f'(x) = 6x + 12x²

Answer

f'(x) = -6/x² + 12x²

Question 31

f(x)=5x
find f'(x)

Accepted Answer

5

Answer

1

Answer

0

Answer

5x

Question 32

f(x)=x³^f'(x)=

Accepted Answer

3x2

Answer

x2

Answer

6x

Answer

3x

Question 33

g(x)=7x+1
g'(x)=

Accepted Answer

7

Answer

7x

Answer

7x+1

Answer

0

Question 34

y=5x²+ 3x + 9
dy/dx =

Accepted Answer

10x+3

Answer

10x

Answer

10x2+3

Answer

10

Question 35

f(x)= 5/x^{2
f'(x) =}

Accepted Answer

-10/x3

Answer

5x

Answer

5/2x

Answer

5x-2

Question 36

y=x y'=

Accepted Answer

1

Answer

x

Answer

-1

Answer

0

Question 37

y=2/5x^3
y'=

Accepted Answer

-6/5x4

Answer

2/5 x-4

Answer

6/5x2

Answer

2/5 x2

Question 38

Find y' if y=e⁴

Accepted Answer

0

Answer

1

Answer

e3

Answer

4e3

Question 39

Derivative means the same thing as

Accepted Answer

slope of the tangent line

Answer

slope of the normal line

Answer

exponent

Answer

potato

Question 40

Question 40.

Accepted Answer

4x⁹ + 6x⁷

Answer

(2/5)x⁹ + (3/4)x⁷

Answer

20x⁹ + 24x⁷

Answer

x⁹ + x⁷

Question 41

Question 41.

Accepted Answer

-32x-9

Answer

(1/2)x-7

Answer

(1/2)x-9

Answer

-32x-7

Question 42

Question 42.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 43

Question 43.

Accepted Answer

12

Answer

4

Answer

12x2

Answer

4x3

Question 44

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

Accepted Answer

Velocity = -2

Answer

Velocity = 0

Answer

Velocity = 1

Answer

Velocity = -1

Question 45

Find the value of the derivative at the indicated x-value.

Accepted Answer

3

Answer

-4

Answer

0

Answer

24

Question 46

Find the value of the derivative at the indicated x-value.

Accepted Answer

-13

Answer

-12

Answer

5

Answer

10

Question 47

The formal definition of a derivative is:

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 48

The slope of a function is described by its ____________.

Accepted Answer

first derivative

Answer

second derivative

Answer

third derivative

Answer

expression

Question 49

If a function's FIRST derivative is negative at a certain point, what does that tell you?

Accepted Answer

The function is decreasing at that point

Answer

The function is increasing at that point

Answer

The concavity of the function is up at that point

Answer

The concavity of the function is down at that point

Question 50

If (a,b) is a local maximum, then what will be true about f'(a)?

Accepted Answer

It's zero

Answer

It's positive

Answer

It's negative

Answer

Cannot be determined

Question 51

Find the critical points of f(x) = 2x⁴- 4x² + 1

Accepted Answer

x = -1, 0, 1

Answer

x= 0

Answer

x = -1, 1

Answer

no critical points

Question 52

If c is a critical number then f(c) is either a local maximum or a local minimum

Accepted Answer

False (Not Facts)

Answer

True (Facts)

Question 53

The x value where the 2nd derivative is equal to zero is commonly referred to as a "critical point".

Accepted Answer

False (Not Facts)

Answer

True (Facts)

Question 54

If the 2nd derivative of a function is negative on that interval, then that interval is concave down.

Accepted Answer

True (Facts)

Answer

False (Not Facts)

Question 55

If the first derivative of a function changes from positive to negative at a certain point, then that point is a known as a relative minimum.

Accepted Answer

False (Not Facts)

Answer

True (Facts)

Question 56

Find the derivative of f(x)=(x³-2x)²

Accepted Answer

6x⁵ - 16x³+8x

Answer

6x⁵ - 12x³+8x

Answer

x⁶-4x⁴+4x²

Answer

6x⁵ - 16x^3-8x

Question 57

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

Accepted Answer

f '(x) = 30x⁵(x⁶ + 4)⁴

Answer

f '(x) = 5x⁵(x⁴ + 4)⁴

Answer

f '(x) = 6x⁵(x⁶ + 4)⁴

Answer

f '(x) = 30x⁶(x⁶ + 4)⁴

Question 58

Question 58.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 59

Question 59.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 60

Find dy/dx if y = cos⁵x

Accepted Answer

-5cos⁴xsinx

Answer

5cos4x

Answer

-5sin4x

Answer

5cos⁴xsinx

Question 61

Find y' if y = tan(3x²+2).

Accepted Answer

6xsec²(3x²+2)

Answer

sec²(3x²+2)

Answer

6xsec²x(3x²+2)

Answer

sec2(6x)

Question 62

Find y' if y = cos⁵(4x³)

Accepted Answer

-60x²cos⁴(4x³)sin(4x³)

Answer

-5cos⁴(4x³)sin(12x²)

Answer

-60x²sin⁴(4x³)

Answer

-5cos⁴(4x³)sin(4x³)

Question 63

Question 63.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 64

When do you use the chain rule?

Accepted Answer

when there is a function in a function

Answer

anytime you want

Answer

where there are multiple layers

Answer

when there is division

Calculus Final Review

75 questions

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