How do you find a turning point of a function using differentiation?

To find the location of turning points on a function, find the first derivative of the function, and then set the result to 0. if you then solve this equation, you will find the locations of the turning points. To find what type of turning point it is, find the second derivative (i.e. differentiate the function you get when you differentiate the original function), and then find what this equals at the location of the turning points. If it's positive, the turning point is a minimum. If negative it is a maximum, and if it is equal to 0 it is a Inflection point.