Free Printable Unit 2 Quiz Review: Definition of a derivative

1.

Derivative means the same thing as

a)

slope of the tangent line

b)

slope of the normal line

c)

exponent

d)

potato

2.

a)

2x

b)

3

c)

6

d)

9

3.

The derivative of a function is its

a)

Slope

b)

Maximum/Minimum

c)

Instantaneous rate of change

d)

Common Denominator

4.

f'(x)=

a)

$\lim_{h\rightarrow0}\left(\frac{f\left(x+h\right)-f\left(x\right)}{h}\right)$

b)

$\lim_{x\rightarrow c}\left(\frac{f\left(x\right)-f\left(c\right)}{x-c}\right)$

c)

$\frac{\text{d}y}{\text{d}x}$

d)

an equation for the slope of the tangent line

5.

$\lim_{x\rightarrow1}\ \frac{\sqrt{x^2+3x}-2}{x-1}$ is the instantaneous rate of change of what function at what value of the domain?

a)

$f\left(x\right)=\sqrt{x^2+3x}-2$ at $x=1$

b)

$f\left(x\right)=\sqrt{x^2+3x}$ at $x=2$

c)

$f\left(x\right)=\frac{\sqrt{x^2+3x}}{x-1}$ at $x=1$

d)

$f\left(x\right)=\sqrt{x^2+3x}$ at $x=1$

6.

It's the average rate of change of y=3x^2+4x-2 on the interval [-2, 1].

a)

0

b)

1

c)

2

d)

3

7.

The function shown

a)

is continuous at x = 2

b)

is differentiable at x = 2

c)

has a limit that exists at x = 2

d)

exists at x = 2

8.

The function shown

a)

is continuous at x = 4

b)

is differentiable at x = 4

c)

has a limit that exists at x = 4

d)

exists at x = 4

9.

If f(2)=3 and f'(2)=-1, then the equation of the tangent line to f(x) at x = 2 is

a)

y - 2 = 3(x + 1)

b)

y - 3 = -1(x - 2)

c)

y + 1 = 2(x - 3)

d)

y - 1 = 2(x - 3)

10.

Where is the graph not differentiable?

a)

x = -2, -1, 0, 1

b)

x = -2, -1, 1

c)

x = -2, -1

d)

x = -1,

11.

What color does a reindeer's eyes turn in the winter?

a)

Red

b)

White

c)

Black

d)

Blue

Unit 2 Quiz Review: Definition of a derivative

Total questions: 11

Worksheet time: 40mins

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