In this worksheet, we will practice calculating the derivative of a function using the formal definition of the derivative as a limit.

**Q2: **

Let . Use the definition of derivative to determine . What is the slope of the tangent to its graph at ?

- A , the slope of the tangent at point
- B , the slope of the tangent at point
- C , the slope of the tangent at point
- D , the slope of the tangent at point
- E , the slope of the tangent at point

**Q4: **

Find the derivative of the function using the definition of derivative, and then state the domain of the function and the domain of its derivative.

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

**Q5: **

Determine the derivative of the function using the definition of the derivative.

- A
- B
- C
- D

**Q6: **

Evaluate .

- A
- B
- C
- D
- E

**Q7: **

Given a function with and , what is ?

- A3
- B0
- C
- D
- E15

**Q8: **

Consider a function with and . What is ?

**Q9: **

Find the derivative of the function using the definition of derivative, and then state the domain of the function and the domain of its derivative.

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