Question 1

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 2

$-\frac{3}{4}$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

1

Answer

$-\frac{3}{4}$

Question 3

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$ is

Accepted Answer

10

Answer

0

Answer

nonexistent

Answer

9

Question 4

$-\frac{3}{4}$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 5

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 6

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is the function given by $h'\left(2\right)=$ , then the average rate of change of $f$ on the closed interval [-3, 2] is

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 7

The graph of the function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is shown. On which of the following intervals is $h'\left(2\right)=$ continuous but not differentiable?

Accepted Answer

(0, 1)

Answer

(-1, 0)

Answer

(1, 2)

Answer

(-2, -1)

Question 8

Which of the following is an equation of the line tangent to the graph of $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ at $h'\left(2\right)=$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 9

For any real number $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 10

The table gives values of the twice-differentiable functions $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ and $h'\left(2\right)=$ and their derivatives at $f$ . If $h$ is the function defined by $h\left(x\right)\ =\ \frac{f\left(x\right)}{g'\left(x\right)}$ , what is the value of $h'\left(-2\right)$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 11

What is $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ when $h'\left(2\right)=$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

nonexistent

Question 12

The function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is shown in the graph above. If $h'\left(2\right)=$ is the function given by $f$ , what is the value of $h$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 13

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 14

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 15

What is the slope of the line tangent to the graph of $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ at $h'\left(2\right)=$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 16

$-\frac{3}{4}$ is

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 17

The table gives values of the twice-differentiable functions $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ and $h'\left(2\right)=$ and their derivatives at $f$ . If $h$ is the function defined by $h\left(x\right)\ =\ \frac{f\left(x\right)}{g'\left(x\right)}$ , what is the value of $h'\left(-2\right)$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 18

$-\frac{3}{4}$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 19

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 20

The line tangent to the graph of a differentiable function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ at $h'\left(2\right)=$ is shown in the figure. Which of the following statements must be true?

I. $h$

II. $f'\left(0\right)\ >\ f\left(0\right)$

III. $f'(0)=-f(0)$

Accepted Answer

II and III only

Answer

II only

Answer

I only

Answer

I and III only

Question 21

The $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 22

The graph of the function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , consisting of three line segments, is shown above for $h'\left(2\right)=$ . If $f$ , what is the value of $h$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 23

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$ is

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

nonexistent

Question 24

The function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is defined by $h'\left(2\right)=$ . What is the value of $f$ ?

Accepted Answer

1

Answer

5

Answer

3

Answer

13

Question 25

Let $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ be the function defined above. Which of the following statements about $h'\left(2\right)=$ must be true?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$ is differentiable at $x=1$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 26

The function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ is defined by $h'\left(2\right)=$ , where $f$ is a constant. If the line tangent to the graph of $h$ at $h\left(x\right)\ =\ \frac{f\left(x\right)}{g'\left(x\right)}$ is parallel to the line that contains the points (2, -1) and (3, -5), what is the value of $h'\left(-2\right)$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 27

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Question 28

If $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , then $h'\left(2\right)=$

Accepted Answer

12

Answer

10

Answer

11

Answer

9

Question 29

The graph of the function $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ , consisting of four line segments, is shown for $h'\left(2\right)=$ . If $f$ , what is the value of $h$ ?

Accepted Answer

-3

Answer

-1

Answer

0

Answer

-2

Question 30

What values of $h\left(x\right)\ =\ \frac{2}{\surd2x}-\sqrt{2x}$ and $h'\left(2\right)=$ would make the function differentiable at $f$ ?

Accepted Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

Answer

$-\frac{3}{4}$

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