And what we want to do is take its first and second derivatives and use as much of our techniques as we have at our disposal to attempt to graph it without a graphing calculator. If we have time, I'll take out the graphing calculator and see if our answer matches up. So a good place to start is to take the first derivative of this. So the derivative of f, well, you take the derivative of the inside, so take the derivative of that right there, which is 4x to the third. And then multiply it times the derivative of the outside with respect to the inside. So the derivative of natural log of x is 1 over x. So the derivative of this whole thing with respect to this inside expression is going to be times 1 over x to the fourth plus 27.