Question

Given f '(x) = (x + 1)(6 + 3x), find the x-coordinate for the relative minimum on the graph of f(x).

Answer 1

Answer:

x = -1

Step-by-step explanation:

The easiest way is just to find the antiderivative and graph.  The antiderivative is $x^{3} + 4.5x^{2} + 9x + C$.  Graphing this with any C shows that $x=-1$ is the relative minimum.