Definition of Derivative Review

Question 1

How many different pets has Mrs. Latka had?

Accepted Answer

5

Question 2

Which is the top summer vacation spot according to the travel channel?

Accepted Answer

Hawaii

Question 3

Find the derivative of f(x) = x3 + 7 when x = 4.

Accepted Answer

48

Question 4

How many hours of sleep do teenagers need to function best?

Accepted Answer

8-10 hours

Question 5

At which x-value(s) is the derivative positive?

Accepted Answer

x = 1, -4

Question 6

Find the slope of the line tangent to f(x) = -10x2 + 8x at x = 9.

Accepted Answer

-172

Question 7

How many times did everyone come to class? No absences?

Accepted Answer

8

Question 8

How many children does Mrs. Latka have?

Accepted Answer

3 girls

Question 9

Find the derivative of 4x2 - 2.

Accepted Answer

8x

Question 10

At which x-values is the slope of the tangent line equal to -4 of the function: f(x) = 1 - x2?

Accepted Answer

x = 2

Question 11

Find the slope of the line tangent to f(x) = -1/(x + 6) at x = -4

Accepted Answer

1/4

Question 12

Describe the slope of the tangent line at x = -4

Accepted Answer

negative

Question 13

Find the equation of the tangent line to f(x) = 48/x at x = 2.

Accepted Answer

y = -12x + 48

Question 14

Find the equation of the tangent line to f(x) = x2 - x at x = 2.

Accepted Answer

y = 3x - 4

Question 15

What will be the # 1 thing you will enjoy this summer?

Accepted Answer

getting the top score on my game, hanging out with family, vacation, sleep

Questions 15