`f(x) = (x^2)/(x^2 + 1)` Determine the point(s) at which the graph of the function has a horizontal tangent line.

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mathace eNotes educator| Certified Educator

Given: `f(x)=x^2/(x^2+1)`


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Find the derivative of the function using the Quotient Rule. Set the derivative equal zero to find the critical x value(s).






Plug in the critical x values into the f(x) equation. 



The graph of the function will have a horizontal tangent line at the

point (0, 0).