Chapter 1.7, Problem 51E

Technology Exercises

For the given function, simultaneously graph the functions $f\left(x\right),f\text{'}\left(x\right)$, and $f\text{'}\text{'}\left(x\right)$ with the specified window setting. Note: Since we have not yet learned how to differentiate the give function, you must use your graphing utility’s differentiation command to define the derivatives

$f\left(x\right)=\frac{x}{1+x^2},\left[-4,4\right]$ by $\left[-2,2\right]$