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Product rule
The product rule gives us a straightforward method to find the derivative of the product of two functions. Let's take two arbitrary functions, f(x) and g(x), and multiply them. So, . The derivative is .
Let's explore this in more detail to understand how this works. Have a look at the following equation:
We can rewrite the derivative, as follows:
This can be further simplified as , which is the same as before.