O-Level Additional Mathematics Tuition Singapore

Increasing and Decreasing Functions

1. When dy/dx > 0 the function is increasing.

2. When dy/dx < o the function is decreasing.

3. When dy/dx = o , there is a turning point or point of inflexion

4. Second derivative maximum point

5. Second derivative > 0 => minimum point

6. Second derivative = 0 we cannot conclude that it is a point of inflexion. We need to use the first derivative test to determine the nature.

O-Level Additional Mathenatics Tutor