We understand slope as the change in y coordinate divided by the change in x coordinate. Considering change in position over time or change in temperature over distance, we see that the derivative can also be interpreted as a rate of change. If we think of an inaccurate measurement as “changed” from the true value we can apply derivatives to determine the impact of errors on our calculations.
Lecture Video and Notes
Clip 1: Introduction to Rates of Change
Clip 3: Physical Interpretation of Derivatives
Clip 4: Physical Interpretation of Derivatives, Continued
Checking Account Balance