Learning Outcomes
How can we measure the instantaneous rate of change of a function?
By the end of this chapter, you should be able to...
- Estimate the value of a derivative using difference quotients, and draw corresponding secant and tangent lines on the graph of a function.
- Find derivatives using the definition of derivative as a limit.
- Compute basic derivatives using algebraic rules.
- Compute derivatives using the Product and Quotient Rules.
- Compute derivatives using the Chain Rule.
- Compute derivatives using a combination of algebraic derivative rules.
- Compute derivatives of implicitly-defined functions.
- Compute derivatives of inverse functions.