Common Calculus Mistakes
Quotient Rule

The Goal

Find

goal


The Mistake

Find the mistake:

mistake

Need a hint? Look carefully at the red part:

mistake


The Correction

correction


An Explanation

The quotient rule is used correctly, but the algebra used to simplify the result is incorrect. Only common factors of the two terms in the numerator can be written in the denominator the way the student wanted. "The Correction" shows how to correctly factor out these quantities.

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