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The quotient rule gives the derivative of u/v, for v nonzero, as

A(u'v + uv')/v^2
B(u'v - uv')/v^2
C(uv' - u'v)/v^2
D(u' - v')/v^2
Answer & Solution
Correct answer: B. (u'v - uv')/v^2
Differentiating the numerator first, subtracting, and dividing by v squared gives (u'v - uv')/v^2.
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