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All 9 Flashcards — Quotient rule
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Question
State the quotient rule.
Answer
(u/v)' = (u'v − uv')/v².
Question
What is the order of terms in the numerator?
Answer
u'v first, then minus uv' (derivative of top times bottom, minus top times derivative of bottom).
Question
What is the denominator in the quotient rule?
Answer
v² — the bottom function squared.
Question
What is the most common quotient-rule error?
Answer
A sign error when subtracting uv' (not distributing the minus).
Question
Differentiate (x + 1)/(x − 2).
Answer
(1(x−2) − (x+1)(1))/(x−2)² = −3/(x−2)².
Question
Does the quotient rule add or subtract in the numerator?
Answer
Subtract: u'v − uv'.
Question
Derivative of (ln x)/x?
Answer
(1 − ln x)/x².
Question
Derivative of 1/(x + 1)?
Answer
−1/(x + 1)².
Question
What does a 'show that' quotient question require?
Answer
Simplifying your derivative to arrive exactly at the printed expression.
Read the notes
Full study notes for Quotient rule
Topic 5.6 hub
Chain, product & quotient
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Math AA SL exam skills
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