Summer of Math Exposition

Presented by 3Blue1Brown 3blue1brown

Calculus Related Rates Visualizer (Filling of a Cone)

Audience:

Tags: calculus

A lot of students struggle to see all of the moving parts of a differential equation. This visualizer takes one very common related rates problem (the filling of a cone) and animates the graphs and scenario to help students intuitively understand how rates and values are interconnected. When one value changes, all the other values change. And the rates at which they change are connected through the differential equation (which can be derived using implicit differentiation).


Analytics

3.73 Overall score*
68 Rank
6 Votes
1 Comment

Comments

7

I really like the visualisation for linking the different parts together, being able to change which rate is constant as well as showing how the rates change for the other components. It took me a while to realise the graph and controls were below the visualisation, so it took a while to enjoy it. Would be better if it all fit within the window.