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Example: Product Rule/Constant Multiple
The Goal
Find
The Mistake
Find the mistake:
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The Correction
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An Explanation
An attempt to use the product rule was made despite the fact that the constant multiple rule would have sufficed. The mistake was in computing the derivative of the constant 3 to be 1 (resulting in the term 6x); the derivative of 3 is 0, which eliminates that 6x term.