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**Openstax**** **and has been adapted for the GPRC Learning Commons in September 2021. The graphs are generated using Desmos. This work is licensed under a Creative Commons BY 4.0 International License.

A derivative is used to find the slope of a curve at any point along that curve. The function ** f'(a)** is read as "

Below are two examples showing one function being solved with both definitions. The key to solving these functions is to isolate a factor of the denominator in the numerator and cancel those factors out so the function is no longer dividing by zero. For ** x** approaching

Example 1:

Example 2:

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