I will take Jhevon's advice and ask as many questions as I want. I am having trouble with a problem. The problem is:

What is the average rate of change of the function $\displaystyle f$ defined by $\displaystyle f(x)=100\cdot 2^x$ on the interval $\displaystyle [0,4]$?

I know the average value of a function to be $\displaystyle Avg(f(x))=\frac{1}{b-a}\int_a^bf(x)dx$ so I assume that the average value of the rate of change of the function is given by $\displaystyle Avg(f'(x)) = \frac{1}{b-a}\int_a^bf'(x)dx$ which is just $\displaystyle \frac{1}{b-a}f(x)\big|_a^b=25(2^4-2^0)=25(15)=375$. Is my reasoning correct?