This unit is focused on applying an understanding of derivatives to real world problems with motion(position, velocity, acceleration) or any other context and units that make sense. You are now applying the chain rule and justifying and applying L’Hopital’s rule in contextual problems( word problems) where these tools allow you to understand some contextual solution for the problem.
Topics
- Interpreting the meaning of the derivative in context
- Straight Line Motion: connecting the position, velocity and acceleration
- Rate of change in applied context other than motion
- Introduction to Related Rates
- Solving Related Rates problems
- Approximating Values of a Function Using Local Linearity and Linearization
- Using L’Hopital’s Rule for Determining Limits of Indeterminate Forms