Part 1/5:

Understanding Related Rates in Calculus

Calculus is filled with concepts that help us analyze the dynamics of change, and one of the most practical applications of derivatives is related rates. This approach is used to determine the rate at which one quantity is changing in relation to another quantity, often easier to measure. Let’s dive into this concept and clarify it with some concrete examples.

What are Related Rates?

Related rates problems typically involve two or more variables that change over time. The core idea is to establish a relationship between the different quantities. By measuring the rate of change of one variable—preferably the one that’s easier to quantify—you can use calculus to find the rate of change of another related variable.