Handling Independent Variables
Explore the concept of handling independent variables through partial derivatives in calculus. This lesson helps you understand how to treat variables that do not affect each other as constants to simplify complex functions. You will gain confidence in applying these techniques to better grasp the mathematical foundations essential for neural network development.
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Partial derivates
Let’s look at one final example because it shows us how to handle variables that are independent of other variables.
Let’s look at the following function:
Here, , , and are independent of each other. What do we mean by independent? We mean that , , and can be any value and don’t care what the other variables are—they aren’t affected by changes in the other variables. This wasn’t the case in previous example, where was , so ...