Let f be the function given by with domain [-2,4].
a) Find the coordinate of each relative maximum and minimum point of f. Explain your answer.
I understand that I have to find the first and second derivative.
For the first derivative I got
For the second derivative I got
I was just wondering if that was right.
I also had to find the x-coordinate of each point of inflection. Am I right when I say that i need to do sign analysis for the second derivative to find the points of inflection?