જો \(\rm f(x)=\begin{vmatrix}x^n&\sin x&\cos x\\\ n!& \sin \left(\frac{n\pi}{2}\right)&\cos \left(\frac{n\pi}{2}\right)\\\ a&a^2&a^3\end{vmatrix}\) હોય, તો x = 0 પર \(\rm \frac{d^n}{dx^n}[f(x)]\) શોધો.