Calculus Rocks (Derivatives and such)

Question 1

What is the limit definition of derivative?

Accepted Answer

C

Question 2

What is the derivative?

Accepted Answer

c

Question 3

If the graph below represents an ORIGINAL function then its derivative must be what?

Accepted Answer

Linear

Question 4

If the graph below represents a DERIVATIVE then the original function must have been what?

Accepted Answer

Cubic

Question 5

What is the derivative of the function ∛x

Accepted Answer

1/3 x(-2/3)

Question 6

What is the derivative of the function f(x) = 3x2 + 12x

Accepted Answer

6x+12

Question 7

If your function has a cusp at the value x=3 then which of the following is true?

Accepted Answer

The derivative does not exist at x=3

Question 8

Which of the following is NOT a type of discontinuity

Accepted Answer

Cusp

Question 9

Find the following limit:

Accepted Answer

2

Question 10

What is the derivative of the function f(x) = x3 - 3x

Accepted Answer

3x2-3

Question 11

A graph shows a cubic function. The derivative of the function could be _____

Accepted Answer

Quadratic

Question 12

What is the derivative of f(x)=4/5 x5/2

Accepted Answer

2x3/2

Questions 12