Common Calculus Mistakes
Quotient Rule

The Goal



The Mistake

Find the mistake:


(Roll the mouse over the math to see a hint in red)

The Correction


(Roll the mouse over the area above to see the correction in blue)

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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