The awnser for question 5 is 4/6
        
             
        
        
        
Assuming you are referring to simple interest not compound that that it is annual you would gain $100 putting you at $600
        
                    
             
        
        
        
Yes, it’s a function because there is no repeating x-values,
        
             
        
        
        
Let's take the first derivative:

Notice that we can write this as:

By taking the derivative of both sides  times, we get:
 times, we get:

This means that each time you take a derivative, a factor of  will appear. So we conclude that:
 will appear. So we conclude that:

Taking  and
 and  , we get:
, we get:

So we finally get:
