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

Circle area Derivative

 

Three Approaches to Related Rates

Circle area Differential Equation

 

Application to Conical Container

DiffEqua Realted Rates2

 

 

Rate of Change of Arc Length

DiffEquaRelatedRatesArcLength

 

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.

 

Thanks for reading.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s