**Q1: **

Find, if any, the point where has a local maximum or local minimum.

- A is a local minimum point.
- B is a local maximum point.
- C is a local maximum point.
- D is a local minimum point.
- EThe function does not have local maximum or minimum points.

**Q2: **

Find, if any, the point where has a local maximum or local minimum.

- A is a local maximum point.
- B is a local minimum point.
- C is a local minimum point.
- D is a local maximum point.
- EThe function does not have local maximum or minimum points.

**Q3: **

Find the local maximum and minimum values of .

- A local maximum at , local minimum 28 at
- B local maximum at , local minimum at
- C local maximum at , local minimum at
- D local maximum 28 at , local minimum at
- E local maximum 4 at , local minimum 40 at

**Q4: **

Determine the local maximum and local minimum values of .

- Alocal maximum value at , local minimum value 3 at
- Blocal maximum value at , local minimum value at
- Clocal maximum value 8 at , local minimum value 8 at
- Dlocal maximum value 3 at , local minimum value at
- Elocal maximum value 8 at , local minimum value 8 at

**Q5: **

Determine, if any, the local maximum and minimum values of , together with where they occur.

- AThe local minimum is at , and there is no local maximum.
- BThe local minimum is at , and the local maximum is at .
- CThe local maximum is at , and there is no local minimum.
- DThe local maximum is at , and the local minimum is at .

**Q6: **

Find the local maxima/minima of the function .

- A is a local minimum point.
- B is a local maximum point.
- C is a local maximum point.
- D is a local minimum point.
- E The function does not have local maximum or minimum points.

**Q7: **

Use the second derivative test to find, if possible, the local maximum and minimum values of .

- A local maximum value
- B local minimum value , local maximum value
- C local minimum value
- D local minimum value , local maximum value

**Q8: **

Determine where the local maxima and minima are for .

- Alocal maxima at , local minima at and
- Blocal maxima at and , local minima at
- Clocal maxima at , local minima at and
- Dlocal maxima at , local minima at and

**Q9: **

Find the values of where has a local maximum or a local minimum.

- AThe function has a local minimum value at .
- BThe function has a local maximum value at .
- CThe function has neither local maximum nor local minimum values.
- DThe function has a local minimum value at .

**Q10: **

Find the local maximum and minimum values of .

- Alocal maximum at , local minimum at
- B local maximum at , local minimum at
- C local maximum at , local minimum at
- D local maximum at , local minimum at
- E local maximum at , local minimum at

**Q11: **

Find where, if at all, the function has its local maxima and minima.

- Alocal minimum value, local maximum value
- Blocal minimum value, local maximum value
- Clocal minimum value, local maximum value
- Dlocal minimum value, local maximum value
- E It has no local maximum or minimum values.

**Q12: **

Find the points where has a local maximum or a local minimum.

- A is a local minimum point.
- B is a local maximum point, and is a local minimum point.
- C is a local maximum point.
- D is a local minimum point, and is a local maximum point.
- EThe function doesn’t have local maximum or minimum points.

**Q13: **

Find the local maximum and minimum values of .

- AA local maximum value is at .
- BA local minimum value is at .
- CA local minimum value is at .
- DA local maximum value is at .
- EA local maximum value is at .

**Q14: **

Find where (if at all) the function has its local maxima and minima.

- Alocal maximum value
- Blocal minimum value, local maximum value
- Clocal minimum value
- Dlocal maximum value, local minimum value
- Elocal minimum value

**Q15: **

Determine the local maximum and minimum values of the function .

- Alocal minimum , local maximum
- Blocal maximum , local minimum
- Clocal maximum , local minimum
- Dlocal minimum , local maximum

**Q16: **

Locate and classify the critical points of .

- Alocal maximum at , local minimum at
- Blocal maximum at , local minimum at
- Clocal maximum at , local minimum at
- Dlocal maximum at , local minimum at
- Elocal maximum at , local minimum at

**Q17: **

Find the local maximum and local minimum values of the function , if these exist.

- Alocal minimum value , no local maximum value
- Blocal minimum value , local maximum value
- Clocal maximum value , no local minimum value
- Dlocal maximum value , local minimum value

**Q18: **

Find (if any) the local maxima and local minima of .

- A local maximum at .
- B local minimum at .
- C local minimum at .
- D local maximum at .
- E local maximum at .

**Q19: **

Let , find where the local maxima and local minima occur for .

- Alocal maximum at , local minimum at
- Blocal maximum at , local minimum at
- Clocal maximum at , local minimum at
- Dlocal maximum at , local minimum at
- Elocal maximum at , local minimum at

**Q20: **

Find the local maximum and minimum values of .

- Alocal maximum at , local minimum 0 at
- Blocal maximum 0 at , local minimum at
- Clocal maximum 0 at , local minimum at
- Dlocal maximum at , local minimum 0 at
- Eno local maximum and no local minimum values

**Q21: **

Determine the local minimum and local maximum values of the function .

- AThe function has no local minimum or local maximum values.
- B local minimum value , local maximum value
- C local maximum value , local minimum value

**Q22: **

Find the point where has a critical point, and determine whether it is a local maximum or local minimum.

- A , local minimum
- B , local maximum
- C , local maximum
- D , local minimum
- E , local minimum