| __ | 1. | +ve Grad.-->ZERO-->–ve Grad. | | A. | f(x)=0 |
| __ | 2. | -ve Grad.-->ZERO-->+ve Grad. | | B. | x=0 |
| __ | 3. | -ve Grad.-->ZERO-->-ve Grad. | | C. | f'(a–)<0 : f’(a)=0 : f'(a+)>0 |
| __ | 4. | f(x)=0 | | D. | roots |
| __ | 5. | Horizontal Point of Inflection | | E. | f’(x)=0 |
| __ | 6. | Maximum at x=a | | F. | Horizontal Point of Inflection |
| __ | 7. | Minimum at x=a | | G. | f'(a–)>0 : f’(a)=0 : f'(a+)>0 |
| __ | 8. | Stationary Points | | H. | f'(a–)>0 : f’(a)=0 : f'(a+)<0 |
| __ | 9. | x-intercepts | | I. | TP (minimum) |
| __ | 10. | y-intercept | | J. | TP (maximum) |