Calculus I: The Product Rule (Level 1 of 3)

The video tutorial explores the concept of derivatives, focusing on the product rule. It begins by questioning if the derivative of a product is the product of derivatives, which is disproven. The product rule is introduced, stating that the derivative of a product of two functions is the first function times the derivative of the second plus the second function times the derivative of the first. Examples are provided, including products of more than two functions, and the application of the product rule to quotients. The tutorial concludes with complex examples, emphasizing the importance of consistency in function assignment.

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