Let $\displaystyle f(x)=5x^2+5x+4$ and let $\displaystyle g(h)=\frac{f(2+h)-f(2)}{h}$

Determine each of the following:

A. g(1)

B. g(0.1)

C. g(0.01)

You will notice that the values that you entered are getting closer and closer to a number $\displaystyle L$. This number is called the limit of $\displaystyle g(h)$ as $\displaystyle h$ approaches $\displaystyle 0$ and is also called the derivative of f(x) at the point when x=2. Enter the value of the number $\displaystyle L$ ____?_____.

Thanks for all your help, as I am currently stuggling with some of these new concepts.