Question 1:
For this case we must find the derivative of the following function:
evaluated at 
We have by definition:
![\frac {d} {dx} [x ^ n] = nx ^ {n-1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bd%7D%20%7Bdx%7D%20%5Bx%20%5E%20n%5D%20%3D%20nx%20%5E%20%7Bn-1%7D)
So:

We evaluate in 

ANswer:
Option A
Question 2:
For this we must find the derivative of the following function:

We have by definition:
![\frac {d} {dx} [x ^ n] = nx ^ {n-1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bd%7D%20%7Bdx%7D%20%5Bx%20%5E%20n%5D%20%3D%20nx%20%5E%20%7Bn-1%7D)
The derivative of a constant is 0
So:

Thus, the value of the derivative is 4.
Answer:
Option A
Question 3:
For this we must find the derivative of the following function:

We have by definition:
![\frac {d} {dx} [x ^ n] = nx ^ {n-1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bd%7D%20%7Bdx%7D%20%5Bx%20%5E%20n%5D%20%3D%20nx%20%5E%20%7Bn-1%7D)
So:

We evaluate for
we have:

Answer:
Option D
Question 4:
For this we must find the derivative of the following function:

We have by definition:
![\frac {d} {dx} [x ^ n] = nx ^ {n-1}](https://tex.z-dn.net/?f=%5Cfrac%20%7Bd%7D%20%7Bdx%7D%20%5Bx%20%5E%20n%5D%20%3D%20nx%20%5E%20%7Bn-1%7D)
So:

We evaluate for
and we have:

ANswer:
Option D
Question 5:
For this case we have by definition, that the derivative of the position is the velocity. That is to say:

Where:
s: It's the position
v: It's the velocity
t: It's time
We have the position is:

We derive:

So, the instantaneous velocity is -10
Answer:
-10