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The quotient rule is used to determine the derivative of a function expressed as the quotient of 2 terms. It is defined as shown:

${d\over dx}{u\over v}={v{du\over dx}-u{dv\over dx}\over v^2}$

Also written as:

$f'(x)={vu'-uv'\over v^2}$

This can also be done as a Product rule (with an inlaid Chain rule):

${d\over dx} (u v^{-1}) = u(-1v^{-2} v') + (v^{-1})u'$

${d\over dx} (u v^{-1}) = {-uv'\over v^{2}} + {u'\over v}$

${d\over dx} (u v^{-1}) = {u'v-uv'\over v^{2}}$

You may do this whichever way you prefer.