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**Openstax**** **and has been adapted for the GPRC Learning Commons in February 2022. The graphs are generated using Desmos. This work is licensed under a Creative Commons BY 4.0 International License.

Previous examples of derivatives were always set up in the form of:

This is a defined as * y* is an explicit function of

As shown here, the unit circle equation is made up from two functions that are both valid and are said to be defined implicitly by the unit circle equation. To find the derivative of these types of equations, treat the * y* components as a function of

There may be instances where the functions are a product of each other. The standard rules apply in these cases as shown below.

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