I need help graphing the following function using the first and second derivative tests:
f(x)=(3x^2) -6x/(x^2) -x -12
Thanks for your help.
$\displaystyle f(x)= 3x^2 - \frac{-6x}{x^2} - x - 12 $
First, determine a sign chart for the first derivative, $\displaystyle f' $
Then determine a sign chart for the second derivative, $\displaystyle f" $
Based on that information you will be able to determine the relative max and min or absolute, also where the infliction points are.