`f(x) = x/(x^2 + 1)` Use the Quotient Rule to find the derivative of the function.

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Chapter 2, 2.3 - Problem 7 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = x/(x^2 + 1)`

`f'(x) = [(x^2 +1) - 2x*x]/(x^2 +1)^2`

`or, f'(x) = (x^2 + 1 - 2x^2)/(x^2 + 1)^2`

`or, f'(x) = (1-x^2)/(1+x^2)^2`

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