Limits, Tangents, & Derivatives

Question 1

What is the value of the limit shown below?

Accepted Answer

0

Question 2

Where is the graph not differentiable?

Accepted Answer

x = 2

Question 3

Find the growth rate of the population in the year 2015.

Accepted Answer

increasing 850,000 per year

Question 4

Does the graph of the function shown below have a horizontal asymptote? If so, what is it?

Accepted Answer

y=3

Question 5

What is the limit definition of the derivative?

Accepted Answer

[D]

Question 6

What is the value of the limit shown below?

Accepted Answer

± ∞

Question 7

Find the derivative of f(x).

Accepted Answer

[B]

Question 8

Find the of the line tangent to g(x) at point A.

Accepted Answer

m = -5.5

Question 9

Where is g(x) continuous?

Accepted Answer

(-∞, -1) U (-1, 2) U [2, ∞)

Question 10

Find the derivative of g(x).

Accepted Answer

[C]

Question 11

What is the slope of the tangent of f(x) at point A?

Accepted Answer

m = -2

Question 12

What is the value of the limit shown below?

Accepted Answer

1/4

Question 13

Find the derivative of p(x).

Accepted Answer

[A]

Question 14

What is the value of the limit shown below?

Accepted Answer

0

Question 15

Find the derivative of f(x).

Accepted Answer

[C]

Question 16

Find velocity 2 seconds after launch.

Accepted Answer

-64 feet per sec

Questions 16