Let $\displaystyle f(x) = \frac{\cos\left(3x^{2} \right) - 1}{x^{2}}$. Evaluate the $10^{\rm th}$ derivative of $f$ at $x=0$.

$\displaystyle f^{(10)}(0) =$

Hint: Build a Maclaurin series for $f(x)$ from the series for $\cos (x)$.