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How do you use the quotient rule to differentiate #f(x)=(x)/(x2+1)#?

1 Answer

Sep 23, 2016

#(1) / ((x^(2) + 1)^(2))#

Explanation:

We have: #f(x) = (x) / (x^(2) + 1)#

#=> f'(x) = ((x^(2) + 1) (1) - (x) (x)) / ((x^(2) + 1)^(2))#

#=> f'(x) = (x^(2) + 1 - x^(2)) / ((x^(2) + 1)^(2))#

#=> f'(x) = (1) / ((x^(2) + 1)^(2))#

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