# Chapter 12 : Limits And Derivatives

10 Questions | Total Attempts: 40

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.

• 1.
1. Which of the following is the product rule for derivatives utilizing the original function h(x) = f(x)g(x) ?
• A.

H'(x)= f'(x)g'(x)

• B.

H'(x)=f'(x)g(x) - f(x)g'(x)

• C.

H'(x)=f'(x)g'(x) + f(x)g(x)

• D.

H'(x)=f'(x)g(x) + f(x)g'(x)

• 2.
2. Which of the following is the derivative of f(x)= x+ x + 2 ?
• A.

2x

• B.

X+ x

• C.

2x + 1

• D.

0

• 3.
3. Which of the following is the quotient rule for derivatives?
• A.

H'(x)=((g(x)f'(x) + f(x)g'(x)) / (g(x))2

• B.

H'(x)=((g'(x)f'(x) - f(x)g(x)) / (g(x))

• C.

H'(x)=((g(x)f'(x) - f(x)g'(x)) / (g(x))2

• D.

H'(x)=((g'(x)f'(x) + f(x)g(x)) / (g(x))

• 4.
4. What rule should be used in deriving f(x) = x5
• A.

Constant rule

• B.

Power rule

• C.

Difference rule

• D.

Sum rule

• 5.
5. Another word for 'integral' is .. .
• A.

Constant

• B.

Derivative

• C.

Theorem

• D.

Antiderivative

• 6.
6. What does C represent in an antiderivative?
• A.

A variable

• B.

A constant

• C.

None

• 7.
8. What is the limit?
• A.

20

• B.

12

• C.

Infinity

• D.

DNE

• 8.
• A.

A

• B.

• C.

C

• D.

D

• 9.
• A.

0

• B.

4/3

• C.

-3/2

• D.

Infinity

• 10.
10. ∫ 4 dx
• A.

4

• B.

4x + C

• C.

4t + C

• D.

2x2 + C