If f(x)=∣∣∣∣∣∣xnn!2cosxcosnπ24sinxsinnπ28∣∣∣∣∣ – InterviewSolution

1.	If f(x)=∣∣∣∣∣∣xnn!2cosxcosnπ24sinxsinnπ28∣∣∣∣∣∣, then the value of dndxn[f(x)] at x=0, (n∈Z) is
Answer» If $f (x) = ∣ ∣∣∣∣ ∣ \begin{matrix} x^{n} & n! & 2 cos x & cos \frac{n π}{2} & 4 sin x & sin \frac{n π}{2} & 8 \end{matrix} ∣ ∣∣∣∣ ∣,$ then the value of $\frac{d^{n}}{d x^{n}} [f (x)]$ at $x = 0, (n \in Z)$ is

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