Chapter 3, Problem 7P

The derivative of $f\left(x\right)=1/\left(1-3x^2\right)$ is given by

$\frac{6x}{{\left(1-3x^2\right)}^2}$

Do you expect to have difficulties evaluating this function at $x=0.577$? Try it using 3- and 4-digit arithmetic with chopping.