**Q1: **

Suppose What can be said of the differentiability of at ?

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

**Q2: **

Suppose What can be said of the differentiability of at ?

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

**Q3: **

Suppose What can be said of the differentiability of at ?

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

**Q4: **

Discuss the continuity and differentiability of the function at given

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

**Q5: **

Discuss the differentiability of a function at given

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

**Q6: **

Discuss the differentiability of the function at given .

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

**Q7: **

Discuss the differentiability of the function at given

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

**Q8: **

Suppose What can be said of the differentiability of at ?

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

**Q9: **

Suppose What can be said of the differentiability of at ?

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

**Q10: **

What can be said of the differentiability of at ?

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

**Q11: **

Discuss the differentiability of the function at .

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

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

**Q15: **

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