GYC ME3 Calculus Rocks (Derivatives and such)

Question 1

Find the following limit:

Accepted Answer

2

Question 2

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

Accepted Answer

Cubic

Question 3

What is the derivative?

Accepted Answer

c

Question 4

Where is the stationary point of the function f(x)=3x2+12x

Accepted Answer

x = -2

Question 5

Find the following limit if 𝒙→2 (instead of 5):

Accepted Answer

4

Question 6

Which graph could be the derivative of the function on the left?

Accepted Answer

Neither

Question 7

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

Accepted Answer

3x2-3

Question 8

Where is the local MAXIMUM of the function f(x)=x3-3x

Accepted Answer

x=-1

Question 9

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

Accepted Answer

Linear

Question 10

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

Accepted Answer

6x+12

Question 11

The function f(x)=3x2+12x has a maximum or minimum?

Accepted Answer

Minimum

Question 12

What is the limit definition of derivative?

Accepted Answer

C

Question 13

What is the derivative of the function ∛x

Accepted Answer

1/3 x(-2/3)

Questions 13