I keep getting “Product and quotient rules” questions wrong in Differentiation. What's the trap?
differentiating a product as just u'v'.
The usual trap: differentiating a product as just u'v'. How to avoid it: the derivative of a product is NOT the product of derivatives. Go back to the definition — the derivative of a product is u'v+uv'; of a quotient is (u'v−uv')/v².
Key point
Product and quotient rules
Common mistake
differentiating a product as just u'v'.
Memory tip
the derivative of a product is NOT the product of derivatives.
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