## 5.4 Maximum and Minimum Points

#### Local Maximum and Minimum Points

- A local maximum point is when immediately to the left of the point, the gradient is positive, and immediately to right the gradient is negative. The table at the right summarises this.

Put simply, it is a point that has y-value larger than its surroundings.

- A local minimum point is when immediately to the left of the point, the gradient is negative, and immediately to right the gradient is positive. The table at the right summarises this.