# Worksheet: Rate of Change and Derivatives

In this worksheet, we will practice finding the instantaneous rate of change for a function using derivatives and applying this in real-world problems.

**Q6: **

What is the rate of change for the function ?

**Q8: **

Evaluate the rate of change of at .

- A
- B
- C9
- D
- E

**Q13: **

A length is initially 9 cm and increases at a rate of 3 cm/s. Write the length as a function of time, .

- A
- B
- C
- D

**Q14: **

What is the rate of change for the function ?

**Q19: **

Find the rate of change of the slope of the tangent of function at .

**Q25: **

Find the slope of the tangent to the curve at .

- A180
- B225
- C45
- D90