#### Problem 51E

51-52 Use the definition of a derivative to find $f^{\prime}(x)$ and $f^{\prime \prime}(x)$. Then graph $f, f^{\prime}$, and $f^{\prime \prime}$ on a common screen and check to see if your answers are reasonable.

51. $f(x)=3 x^{2}+2 x+1$