Product Rule
Below is the formula to the product rule:

This example follows the exact setup as the formula given above as f(x) is the first term, 4x squared and g(x) would be the second term, 7x cubed.
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Just remember the order of these terms isn't important because it's addition, however, this won't be the same case for the quotient rule. All we're doing here is taking the derivative of one of the terms and multiplying it by another regular term and vice versa.
For example,

