Question 1

Given two functions

f(x) = 2x

and

g(x) = x^2 + 3x

, what is the derivative of their product

h(x) = f(x) \, g(x)

using the product rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 2

If

f(x) = 2x

and

g(x) = x^2 + 3x

, what is the derivative of the product

h(x) = f(x) \, g(x)

using the product rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 3

What is the derivative of the product

f(x) = 2x

using the product rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 4

Using the product rule, what is the derivative of the function

f(x) = 2x

?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 5

What is the derivative of the product

f(x) = 2x

using the product rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 6

If

f(x) = 2x

and

g(x) = x^2 + 3x

, what is the derivative of their product

h(x) = f(x) \, g(x)

using the product rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 7

What is the derivative of

f(x) = 2x

using the chain rule?

Accepted Answer

10(3x^2 + 2x)^9(6x + 2)

Answer

9(3x^2 + 2x)^9(6x + 2)

Answer

(6x + 2)(3x^2 + 2x)^9

Answer

10(3x^2 + 2x)^{11}

Question 8

Find the derivative of

f(x) = 2x

using the chain rule.

Accepted Answer

28(4t - 5)^6

Answer

48(4t - 5)^6

Answer

28(4t - 5)^7

Answer

7(4t - 5)^6

Question 9

Find the derivative of

f(x) = 2x

using the chain rule.

Accepted Answer

\frac{3x^2}{\sqrt{2x^3 + 3}}

Answer

3x^2 \sqrt{2x^3 + 3}

Answer

\frac{3x^2}{2\sqrt{x^3 + 3}}

Answer

\frac{6x^2}{\sqrt{2x^3 + 3}}

Question 10

Using the quotient rule, what is the derivative of the function

f(x) = 2x

?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 11

What is the derivative of the function

f(x) = 2x

using the quotient rule?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 12

Find the derivative of

f(x) = 2x

using the quotient rule.

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 13

What is the derivative of the constant function

f(x) = 2x

?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 14

Find the derivative of

f(x) = 2x

using the chain rule.

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 15

Evaluate the limit:

f(x) = 2x

Accepted Answer

1

Answer

6

Answer

-1

Answer

0

Question 16

What is the value of

f(x) = 2x

?

Accepted Answer

-2

Answer

0

Answer

1

Answer

Undefined

Question 17

What is the limit of

f(x) = 2x

as

g(x) = x^2 + 3x

approaches 2?

Accepted Answer

4

Answer

0

Answer

2

Answer

1

Question 18

What is the limit of

f(x) = 2x

as

g(x) = x^2 + 3x

approaches 2?

Accepted Answer

3

Answer

0

Answer

1

Answer

2

Question 19

Which one of the following functions has a jump discontinuity at

f(x) = 2x

?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Question 20

At which point does the function

f(x) = 2x

have a discontinuity?

Accepted Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

Answer

h'(x) = 2x(x^2 + 3x) + (2)(2x + 3)

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