Originally Posted by

**russell_c_cook**
Hey,

I've just been doing some differentiation questions. I understand that the points where dy/dx = 0 wil be turning points on the graph, but I don't understand why they are called "minimum" and "maximum" points.

For example, in the graph of the equation y = 2x^3 + 3x^2 -36x+1

the maximum turning point is (-3, 82), but the line reaches higher points in the y-axis than this further along the x-axis. So why is it called a maximum point?

My guess is that it just means maximum **turning** point. Is this correct? If so, are there no further turning points anywhere along the line?