Misapplying the product rule occurs when one incorrectly uses the product rule for differentiation, leading to errors in calculating the derivative of a product of two functions. This mistake often arises from confusion about the correct application of the rule, which states that if you have two functions multiplied together, their derivative is not simply the product of their individual derivatives but instead requires additional terms. Recognizing and avoiding this error is crucial for accurate differentiation, especially when dealing with more complex expressions.
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