Let \(f(x)=\frac{e^x-e^{-x}}{2}\), \(x\in\mathbb{R}\). Let f(k)(a) denote the…

Let $f(x)=\frac{e^x-e^{-x}}{2}$, $x\in\mathbb{R}$. Let f(k)(a) denote the $k^{\mathrm{th}}$ derivative of f evaluated at a. What is the value of f(10)(0)? (Note: ! denotes factorial)