Quiz about Mrs. Ballard's Praxis/ACT Math Review

Question 1

Question 1.

Accepted Answer

-sinx

Answer

sinx

Answer

-cscx cotx

Answer

sec2x

Question 2

Question 2.

Accepted Answer

sec2x

Answer

cscx cotx

Answer

secx tanx

Answer

-cscx cotx

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

Question 6.

Accepted Answer

-ln |cosx| + C

Answer

ln |cosx| + C

Answer

ln |sinx| + C

Answer

-ln |sinx| + C

Question 7

Question 7.

Accepted Answer

sin x + C

Answer

-sin x + C

Answer

ln |sinx| + C

Answer

-ln |sinx| + C

Question 8

The derivative of a constant function is ______________.

Accepted Answer

d/dx (c) = 0

Answer

d/dx (c) = x

Answer

d/dx (c) = c

Answer

d/dx (c) = 1

Question 9

The derivative of f(x) = 5 is ________.

Accepted Answer

0

Answer

1

Answer

5c

Answer

5x

Question 10

Find the slope of the tangent line to the graph of the function at the given point.

f(x) = 5 - x² (3,-4)

Accepted Answer

m = -6

Answer

m = 6

Answer

m = 5

Answer

m = 3

Question 11

The derivative of f + g (or f - g) is the sum (or difference) of the derivatives of f and g.

Accepted Answer

True

Answer

False

Question 12

What is the derivative of y = 1/x² ?

Accepted Answer

y' = -2/x³

Answer

y' = 3x2

Answer

y' = 1/3x

Answer

y' = 1/2x

Question 13

What is the derivative of f(x) = 5x²?

Accepted Answer

f'(x) = 10x

Answer

f'(x) = 5x

Answer

f'(x) = 2x⁵

Answer

f'(x) = 10x²

Question 14

Before differentiating functions involving radicals, what should we do first?

Accepted Answer

Rewrite the function with rational exponents.

Answer

Differentiate directly.

Answer

Simplify the terms with radicals.

Answer

Multiply/Divide the radicals.

Question 15

The term indefinite integral is a synonym for antiderivative.

Accepted Answer

True

Answer

False

Question 16

How can we say that a function F is an antiderivative of f on an interval I?

Accepted Answer

when F'(x) = f(x) for all x in I

Answer

when F(x) = f(x) for all x in I

Answer

when f'(x) = F(x) for all x in I

Answer

when F'(x) = f'(x) for all x in I

Question 17

Another way of finding the area of a region is to use a definite integral.

Accepted Answer

True

Answer

False

Question 18

How do we approximate the area of a plane region?

Accepted Answer

By taking the limit of the summation of all n-rectangles as n approaches infinity.

Answer

By taking the derivative of the function.

Answer

By multiplying length and width.

Answer

By using Chain Rule.

Question 19

Who were credited for creating calculus?

Accepted Answer

Isaac Newton & Gottfried Wilhelm Leibniz

Answer

Niels Henrik Abel & Evariste Galois

Answer

Joseph-Louis Lagrange & Michel Rolle

Answer

Thomas Simpson & George Friedrich Riemann

Question 20

Find the derivative: y=^-1/_x

Accepted Answer

1/x2

Answer

-1

Answer

0

Answer

x

Question 21

What is the derivative of y=xⁿ?

Accepted Answer

y'=(n)x^n-1

Answer

y'=(n+1)xⁿ

Answer

y'=(n-1)xⁿ

Answer

y'=(n)xⁿ⁺¹

Question 22

Find the derivative: y=1

Accepted Answer

0

Answer

1

Answer

x

Answer

1/x

Question 23

Question 23.

Accepted Answer

2 and 4

Answer

2 only

Answer

0 and 2 only

Answer

0, 1 and 2

Answer

0, 1, 2, and 4.

Question 24

Question 24.

Accepted Answer

7

Answer

1

Answer

3

Answer

10

Answer

None

Question 25

Question 25.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

Question 26

Question 26.

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Answer

E.

Question 27

Question 27.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Answer

E.

Question 28

Question 28.

Accepted Answer

-2

Answer

Does not exist

Answer

120

Answer

10

Question 29

Question 29.

Accepted Answer

-5/9

Answer

Does not exist

Answer

-7/5

Answer

-1/2

Question 30

Question 30.

Accepted Answer

1

Answer

Does not exist

Answer

0

Answer

-1

Question 31

What is the limit?

Accepted Answer

20

Answer

Infinity

Answer

DNE

Answer

12

Question 32

Question 32.

Accepted Answer

DNE

Answer

0

Answer

1

Answer

2

Question 33

Question 33.

Accepted Answer

2

Answer

0

Answer

1

Answer

DNE

Question 34

Question 34.

Accepted Answer

0

Answer

1

Answer

-1

Answer

DNE

Question 35

Question 35.

Accepted Answer

-1

Answer

0

Answer

1

Answer

DNE

Question 36

Question 36.

Accepted Answer

-2

Answer

-6

Answer

3

Answer

0

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