How do I determine the intervals where the graph of yx34x26x

Solution

find the second derivative f\'\'(x) of the function then in the intervals where when f\'\'(x) >0 it is concave upward in the intervals where when f\'\'(x) <0 it is concave downward let f(x)=y =x^3+4x^2+6x -1 f\'(x)=3x^2+12x+6 f\'\'(x)=6x+12