In the spirit of consistency, several additional examples supplementing my introduction to related rates are included here. As seen in the first example below, past concepts are revisited and, in turn, connected to newly introduced ones. Mixing things up from that point on provides students with a variety of perspectives on the same theme that serves to further cement understanding.
Separable Differential Equation
Three Approaches to Related Rates
Application to Conical Container
Rate of Change of Arc Length
The approach to solving each of these related rate problems is the same; identify what is known, what is desired and then connect the two.
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samuelson mathxp 