**Q1: **

Find all local maxima and minima of the function .

- Alocal maximum at , saddle point at
- Blocal minimum at , saddle point at
- Clocal maximum at , saddle point at
- Dlocal minimum at , saddle point at
- Elocal minimum at , saddle point at

**Q2: **

Find all stationary points of the function , stating whether they are minima, maxima, or saddle points.

- Alocal minimum at
- Blocal maximum at
- Csaddle point at
- DThe function has no stationary points.

**Q3: **

Find all stationary points of the function , stating whether they are minima, maxima, or saddle points.

- A is a local minimum point.
- B is a local maximum point.
- C is a saddle point.
- D is a local minimum point.
- E is a local maximum point.

**Q4: **

Find all stationary points of the function .

- A is a local minimum point, is a local maximum point, and and are saddle points.
- B is a local minimum point, is a local maximum point, and and are saddle points.
- C and are local mimimum points, is a local maximum point, and is a saddle point.
- D is a local minimum point, is a local maximum point, and and are saddle points.
- E is a local minimum point, and are local maximum points, and is a saddle point.

**Q5: **

Find all stationary points of the function , stating whether they are minima, maxima, or saddle points.

- A is a saddle point.
- B is a local minimum point.
- C is a local maximum point.
- D is a local maximum point.
- E is a local minimum point.

**Q6: **

- A and are local minimum points.
- B and are local maximum points.
- C is a local maximum point and is a saddle point.
- D is a local minimum point and is a saddle point.
- E and are saddle points.

**Q7: **

- A is a local minimum point and is a saddle point.
- B is a local maximum point and is a saddle point.
- C is a local maximum point and is a saddle point.
- D is a local minimum point and is a saddle point.
- E is a local minimum point and is a saddle point.

**Q8: **

- A is a local minimum point and is a saddle point.
- B is a local minimum point and is a saddle point.
- C is a local minimum point and is a saddle point.
- D is a local minimum point and is a saddle point.
- E is a local minimum point and is a saddle point.

**Q9: **

- A is a local minimum point, is a local maximum point, and and are saddle points.
- B is a local minimum point, is a local maximum point, and and are saddle points.
- C and are local minimum points, is a local maximum point, and is a saddle point.
- D is a local minimum point, is a local maximum point, and and are saddle points.
- E is a local minimum point, and are local maximum points, and is a saddle point.