How do I use the quotient rule to find the derivative?

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Answer 1 · 2014-10-05T13:28:02

#[{f(x)}/{g(x)}]'={f'(x)g(x)-f(x)g'(x)}/{[g(x)]^2}#

Let us look at the following example.

#({x}/{x^2+1})'#

by Quotient Rule above,

#={1cdot(x^2+1)-xcdot2x}/{(x^2+1)^2}#

by cleaning it up a bit,

#={1-x^2}/{(x^2+1)^2}#

I hope that this was helpful.