The chain rule

When trying to derive a composite function, we use the chain rule.

A composite function is a function that is comprised of two functions, one within the other. Here’s the generic formula:

chains

This shows the derivative of y with respect to x broken down into the derivative of y with respect to u multiplied by the derivative u with respect to x.

This is proven to be the same here:

proof-cr

The value of you can be substituted with whatever value is needed to derive the function. Here’s and example of the chain rule being used:

example-cr

…To be continued

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