The derivative of a function $f$ is defined using the following definition:

$f^{\text{'}}(x)=\underset{h0}{lim}\frac{f(x+h)-f(x)}{h}$

For each of the functions listed determine a formula for the derivative. For the first two, determine the formula for the derivative by thinking about the slope of the function at various points. For the last four, use the limit definition. Make sure to graph each function next to its derivative function to compare the two graphs and how they are related.

$($a$)f(x)=5$

$($b$)f(x)=7x+2\backslash$