Students often struggle with calculating rates from the limit definition,

Because of this, there are many FAQs available to help you work through these problems.

- Math-FAQ: How do you find the instantaneous rate of change?
- Math-FAQ: What is the difference between a secant line and a tangent line?
- Math-FAQ: How do you find the equation of a tangent line?
- Math-FAQ: How do you find a derivative at a point from the definition?
- Math-FAQ: How do you find the instantaneous rate from a table?

These examples should help you to solve problems from Section 11.2 and Section 11.3.