CPM Homework Help : PC Problem 11-58

Use the limit definition of the derivative to find the general slope function for f(x) = x² + 3x. Homework Help ✎

Hint:

$\textit{f}'(\textit{x})=\lim_{ \textit{h} \to 0 }\frac{\textit{f}(\textit{x}+\textit{h})-\textit{f}(\textit{x})}{\textit{h}$

Step 1:

$\textit{f}'(\textit{x})=\lim_{ \textit{h} \to 0 }\frac{((\textit{x}+\textit{h})^2+3(\textit{x}+\textit{h}))-(\textit{x}^2+3\textit{x})}{\textit{h}$

Now simplify and to find the limit.