Let $f(x) = 7 x + 4 x^2$. Then the expression can be written in the form $Ah + Bx + C$, where $A$, $B$, and $C$ are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants.

$A =$

$B =$

$C =$

Use your answer from above to find $\displaystyle{\lim_{h\rightarrow 0} \frac{f(x + h) - f(x)}{h}}$.

$\displaystyle{\lim_{h\rightarrow 0} \frac{f(x + h) - f(x)}{h}} =$

Finally, find each of the following:

$f'(1) =$

$f'(2) =$

$f'(3) =$

Your overall score for this problem is