**Q1: **

Suppose What can be said of the differentiability of at ?

- AThe function is not differentiable at because is discontinuous at .
- BThe function is continuous but not differentiable at because .
- CThe function is differentiable at as but is not continuous.
- DThe function is differentiable at .
- EThe function is not differentiable at because is undefined.

**Q2: **

Suppose What can be said of the differentiability of at ?

- AThe function is not differentiable at because is discontinuous at .
- BThe function is continuous but not differentiable at because .
- CThe function is differentiable at as but is not continuous.
- DThe function is differentiable at .
- EThe function is not differentiable at because is undefined.

**Q3: **

Suppose What can be said of the differentiability of at ?

- AThe function is not differentiable at because is discontinuous at .
- BThe function is continuous but not differentiable at because .
- CThe function is differentiable at as but is not continuous.
- DThe function is differentiable at .
- EThe function is not differentiable at because is undefined.

**Q4: **

Discuss the continuity and differentiability of the function at given

- AThe function is not continuous, so it is not differentiable at .
- BThe function is not continuous but differentiable at .
- CThe function is continuous but not differentiable at .
- DThe function is continuous and differentiable at .

**Q5: **

Discuss the differentiability of a function at given

- A is not differentiable at because is undefined.
- B is differentiable at because is continuous at .
- C is differentiable at because .
- D is not differentiable at because .

**Q6: **

Discuss the differentiability of the function at given .

- AThe function is not differentiable at as is discontinuous at that point.
- BThe function is not differentiable at that point as .
- CThe function is differentiable at as is continuous at that point.
- DThe function is differentiable at that point as .

**Q7: **

Discuss the differentiability of the function at given

- A is not differentiable at because is discontinuous at .
- B is continuous but not differentiable at because .
- C is not differentiable at because is undefined.
- D is differentiable at .
- E is discontinuous but differentiable at because .

**Q8: **

Suppose What can be said of the differentiability of at ?

- AThe function is not differentiable at because is discontinuous at .
- BThe function is not continuous but differentiable at because .
- CThe function is differentiable at as but is not continuous.
- DThe function is not differentiable at because .
- EThe function is differentiable at because is undefined.

**Q9: **

Suppose What can be said of the differentiability of at ?

- AThe function is not differentiable at because is discontinuous at .
- BThe function is not continuous but differentiable at because .
- CThe function is differentiable at as but is not continuous.
- DThe function is not differentiable at because .
- EThe function is differentiable at because is undefined.

**Q10: **

What can be said of the differentiability of at ?

- A is differentiable at .
- B is not differentiable at because is discontinuous at that point.
- C is not differentiable at because is undefined.
- D is continuous but not differentiable at because .

**Q11: **

Discuss the differentiability of the function at .

- AThe function is not differentiable at because does not exist.
- BThe function is not differentiable at because is not continuous at that point.
- CThe function is differentiable at because exists.
- DThe function is differentiable at because exists.

**Q12: **

Let If is differentiable at , find and .

- A ,
- B ,
- C ,
- D ,
- E ,

**Q13: **

Let Determine the values of and so that is continuous at . What can be said of the differentiability of at this point?

- A , , differentiable at
- B , , differentiable at
- C , , not differentiable at
- D , , not differentiable at

**Q14: **

Let If and is continuous at , determine the values of and . What can be said of the differentiability of at this point?

- A , , differentiable at
- B , , differentiable at
- C , , not differentiable at
- D , , not differentiable at

**Q15: **

Find the values of and given the function is differentiable at where