Interpreting the Meaning of the Derivative in Context
First up, let's talk about interpreting the meaning of the derivative in context. This is foundation
Straight-Line Motion: Connecting Position, Velocity, and Acceleration
Alright, let's get moving! One of the most classic applications of derivatives is in straight-line m
Rates of Change in Applied Contexts Other Than Motion
But wait, there's more! Derivatives aren't just for things that move. They help us understand rates
Introduction to Related Rates
Alright, this is where it gets really fun and, I'll be honest, sometimes a little tricky: Related Ra
Solving Related Rates Problems
Now, let's put it all together and become related rates masters! Here's the step-by-step strategy fo
Approximating Values Using Linearization and Local Linearity
Okay, let's pivot a bit. Sometimes, we don't need the *exact* value of a function, just a really, re
Introduction to L'Hôpital's Rule
Have you ever been staring at a limit problem and gotten stuck with something like 0/0 or infinity/i
Applying L'Hôpital's Rule to Other Indeterminate Forms
Now, L'Hôpital's Rule isn't just for 0/0 and infinity/infinity directly. We can get clever! There ar