Quotient+Rule



**__ Definition: __ ** the quotient of f/g of two differentiable functions f and g is itself differentiable at all values of x for which g(x) does not equal 0.



**__In other words: __ ** <span style="COLOR: rgb(160,13,74); FONT-FAMILY: Georgia,serif"><span style="COLOR: rgb(94,59,13)">The derivative of the quotient of two differentiable function is:

(<span style="COLOR: rgb(94,60,13)">The derivative of the numerator times the denominator) minus (the derivative of the denominator times the numerator <span style="COLOR: rgb(94,60,13)">) <span style="COLOR: rgb(94,60,13)">........................................................................................................................................................................................................................... (denominator)^2

<span style="COLOR: rgb(252,252,252)"><span style="COLOR: rgb(167,22,22)"><span style="FONT-SIZE: 150%; COLOR: rgb(235,163,201); FONT-FAMILY: 'Arial Black',Gadget,sans-serif; BACKGROUND-COLOR: rgb(94,59,13)"> Example: <span style="COLOR: rgb(235,163,201); BACKGROUND-COLOR: rgb(94,59,13)">

<span style="FONT-SIZE: 150%; FONT-FAMILY: Verdana,Geneva,sans-serif">**<span style="COLOR: rgb(235,163,201); BACKGROUND-COLOR: rgb(94,59,13)">__Application:__ **
<span style="COLOR: rgb(235,163,201); BACKGROUND-COLOR: rgb(93,60,13)">media type="custom" key="641813"

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<span style="FONT-SIZE: 150%; COLOR: rgb(235,163,201); FONT-FAMILY: 'Arial Black',Gadget,sans-serif; BACKGROUND-COLOR: rgb(93,60,13)"><span style="FONT-FAMILY: Verdana,Geneva,sans-serif">__**Links:**__ ======

http://www.math.ucdavis.edu/~kouba/CalcOneDIRECTORY/quotientruledirectory/QuotientRule.html

http://www.math.hmc.edu/calculus/tutorials/quotient_rule/

[|http://www.calculus-help.com/funstuff/tutorials/derivatives/deriv04.html </span]>