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Math

Attribution

Some of the content of this guide was modeled after a guide originally created by 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.

Derivative Rules

Table of Derivatives

BELOW ARE PROOFS OR EXAMPLES OF EACH DERIVATIVE IN THE TABLE ABOVE

Derivative of a constant

Derivative of an exponent

 

Derivative of the sum of two functions

 

Derivative with a constant multiple

Derivative of a product of two functions

Derivative of a quotient of two functions

 

Derivative of a function within a function